Symbolic Algebra

Examples

(o+p-q)² → (o²+2op+p²-2oq-2pq+q²)
let f(z,c)=z²+c in f(Z+z,C+c)-f(Z,C) → (c+2Zz+z²)
let z=a₁c+a₂c²+a₃c³ in c+2Zz+z² → ((1+2Za₁)c+(a₁²+2Za₂)c²+(2a₁a₂+2Za₃)c³+O(c⁴))
Z³+C → ((Re(C)-3Im(Z)²Re(Z)+Re(Z)³)i+(Im(C)-1Im(Z)³+3Im(Z)Re(Z)²)j)

(o+p-q)² → (o²+2op+p²-2oq-2pq+q²)

Parse

	(o+p-q)²
=	{ parse }
	(((o+p)+(-1×q))×((o+p)+(-1×q)))

Sum of products

	(((o+p)+(-1×q))×((o+p)+(-1×q)))
=	{ A×(B+C) → (A×B)+(A×C) }
	((((o+p)+(-1×q))×(o+p))+(((o+p)+(-1×q))×(-1×q)))
=	{ A×(B+C) → (A×B)+(A×C) }
	(((((o+p)+(-1×q))×o)+(((o+p)+(-1×q))×p))+(((o+p)+(-1×q))×(-1×q)))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((o+p)×o)+((-1×q)×o))+(((o+p)+(-1×q))×p))+(((o+p)+(-1×q))×(-1×q)))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((o×o)+(p×o))+((-1×q)×o))+(((o+p)+(-1×q))×p))+(((o+p)+(-1×q))×(-1×q)))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((o×o)+(p×o))+((-1×q)×o))+(((o+p)×p)+((-1×q)×p)))+(((o+p)+(-1×q))×(-1×q)))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((o×o)+(p×o))+((-1×q)×o))+(((o×p)+(p×p))+((-1×q)×p)))+(((o+p)+(-1×q))×(-1×q)))
=	{ A+(B+C) → (A+B)+C }
	((((((o×o)+(p×o))+((-1×q)×o))+((o×p)+(p×p)))+((-1×q)×p))+(((o+p)+(-1×q))×(-1×q)))
=	{ A+(B+C) → (A+B)+C }
	(((((((o×o)+(p×o))+((-1×q)×o))+(o×p))+(p×p))+((-1×q)×p))+(((o+p)+(-1×q))×(-1×q)))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((((o×o)+(p×o))+((-1×q)×o))+(o×p))+(p×p))+((-1×q)×p))+(((o+p)×(-1×q))+((-1×q)×(-1×q))))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((((o×o)+(p×o))+((-1×q)×o))+(o×p))+(p×p))+((-1×q)×p))+(((o×(-1×q))+(p×(-1×q)))+((-1×q)×(-1×q))))
=	{ A×(B×C) → (A×B)×C }
	(((((((o×o)+(p×o))+((-1×q)×o))+(o×p))+(p×p))+((-1×q)×p))+((((o×-1)×q)+(p×(-1×q)))+((-1×q)×(-1×q))))
=	{ A×(B×C) → (A×B)×C }
	(((((((o×o)+(p×o))+((-1×q)×o))+(o×p))+(p×p))+((-1×q)×p))+((((o×-1)×q)+((p×-1)×q))+((-1×q)×(-1×q))))
=	{ A×(B×C) → (A×B)×C }
	(((((((o×o)+(p×o))+((-1×q)×o))+(o×p))+(p×p))+((-1×q)×p))+((((o×-1)×q)+((p×-1)×q))+(((-1×q)×-1)×q)))
=	{ A+(B+C) → (A+B)+C }
	((((((((o×o)+(p×o))+((-1×q)×o))+(o×p))+(p×p))+((-1×q)×p))+(((o×-1)×q)+((p×-1)×q)))+(((-1×q)×-1)×q))
=	{ A+(B+C) → (A+B)+C }
	(((((((((o×o)+(p×o))+((-1×q)×o))+(o×p))+(p×p))+((-1×q)×p))+((o×-1)×q))+((p×-1)×q))+(((-1×q)×-1)×q))

Flatten

	(((((((((o×o)+(p×o))+((-1×q)×o))+(o×p))+(p×p))+((-1×q)×p))+((o×-1)×q))+((p×-1)×q))+(((-1×q)×-1)×q))
=	{ flatten }
	((o×o)+(p×o)+(-1×q×o)+(o×p)+(p×p)+(-1×q×p)+(o×-1×q)+(p×-1×q)+(-1×q×-1×q))

Scalar multiple

	((o×o)+(p×o)+(-1×q×o)+(o×p)+(p×p)+(-1×q×p)+(o×-1×q)+(p×-1×q)+(-1×q×-1×q))
=	{ A×... → 1×A×... }
	((1×o×o)+(p×o)+(-1×q×o)+(o×p)+(p×p)+(-1×q×p)+(o×-1×q)+(p×-1×q)+(-1×q×-1×q))
=	{ A×... → 1×A×... }
	((1×o×o)+(1×p×o)+(-1×q×o)+(o×p)+(p×p)+(-1×q×p)+(o×-1×q)+(p×-1×q)+(-1×q×-1×q))
=	{ A×... → 1×A×... }
	((1×o×o)+(1×p×o)+(-1×q×o)+(1×o×p)+(p×p)+(-1×q×p)+(o×-1×q)+(p×-1×q)+(-1×q×-1×q))
=	{ A×... → 1×A×... }
	((1×o×o)+(1×p×o)+(-1×q×o)+(1×o×p)+(1×p×p)+(-1×q×p)+(o×-1×q)+(p×-1×q)+(-1×q×-1×q))
=	{ A×... → 1×A×... }
	((1×o×o)+(1×p×o)+(-1×q×o)+(1×o×p)+(1×p×p)+(-1×q×p)+(1×o×-1×q)+(p×-1×q)+(-1×q×-1×q))
=	{ A×... → 1×A×... }
	((1×o×o)+(1×p×o)+(-1×q×o)+(1×o×p)+(1×p×p)+(-1×q×p)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))

Sort

	((1×o×o)+(1×p×o)+(-1×q×o)+(1×o×p)+(1×p×p)+(-1×q×p)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B×A → A×B }
	((1×o×o)+(1×o×p)+(-1×q×o)+(1×o×p)+(1×p×p)+(-1×q×p)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(-1×q×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×q×p)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B×A → A×B }
	((1×o×o)+(-1×o×q)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×q×p)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(-1×o×q)+(1×o×p)+(1×p×p)+(-1×q×p)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(-1×o×q)+(1×p×p)+(-1×q×p)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×q×p)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×q×p)+(-1×o×q)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B×A → A×B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×p×q)+(-1×o×q)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×p×q)+(1×o×-1×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(1×o×-1×q)+(-1×p×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(1×o×-1×q)+(-1×o×q)+(-1×p×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B×A → A×B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(1×-1×o×q)+(-1×o×q)+(-1×p×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(1×-1×o×q)+(-1×p×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B×A → A×B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(1×p×-1×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(1×p×-1×q)+(-1×p×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(1×p×-1×q)+(-1×1×o×q)+(-1×p×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(1×p×-1×q)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(-1×q×-1×q))
=	{ B×A → A×B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(1×-1×p×q)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(1×-1×p×q)+(-1×1×o×q)+(-1×p×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(1×-1×p×q)+(-1×p×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(1×-1×p×q)+(-1×q×-1×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(-1×q×-1×q)+(1×-1×p×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(-1×q×-1×q)+(-1×p×q)+(1×-1×p×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×q×-1×q)+(-1×1×o×q)+(-1×p×q)+(1×-1×p×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×q×-1×q)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(1×-1×p×q))
=	{ B×A → A×B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×-1×q×q)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(1×-1×p×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×-1×q×q)+(-1×1×o×q)+(-1×p×q)+(1×-1×p×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(-1×-1×q×q)+(-1×p×q)+(1×-1×p×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(-1×-1×q×q)+(1×-1×p×q))
=	{ B+A → A+B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(1×-1×p×q)+(-1×-1×q×q))
=	{ B×A → A×B }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(-1×1×p×q)+(-1×-1×q×q))

Fold constants

	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×1×o×q)+(-1×p×q)+(-1×1×p×q)+(-1×-1×q×q))
=	{ (m)×(n) → (m×n) }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×o×q)+(-1×p×q)+(-1×1×p×q)+(-1×-1×q×q))
=	{ (m)×(n) → (m×n) }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×o×q)+(-1×p×q)+(-1×p×q)+(-1×-1×q×q))
=	{ (m)×(n) → (m×n) }
	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×o×q)+(-1×p×q)+(-1×p×q)+(1×q×q))

Collect

	((1×o×o)+(1×o×p)+(1×o×p)+(1×p×p)+(-1×o×q)+(-1×o×q)+(-1×p×q)+(-1×p×q)+(1×q×q))
=	{ (mA)+(nA) \to (m+n)A }
	((1×o×o)+(2×o×p)+(1×p×p)+(-1×o×q)+(-1×o×q)+(-1×p×q)+(-1×p×q)+(1×q×q))
=	{ (mA)+(nA) \to (m+n)A }
	((1×o×o)+(2×o×p)+(1×p×p)+(-2×o×q)+(-1×p×q)+(-1×p×q)+(1×q×q))
=	{ (mA)+(nA) \to (m+n)A }
	((1×o×o)+(2×o×p)+(1×p×p)+(-2×o×q)+(-2×p×q)+(1×q×q))

Simplify

	((1×o×o)+(2×o×p)+(1×p×p)+(-2×o×q)+(-2×p×q)+(1×q×q))
=	{ 1×A → A }
	((o×o)+(2×o×p)+(1×p×p)+(-2×o×q)+(-2×p×q)+(1×q×q))
=	{ 1×A → A }
	((o×o)+(2×o×p)+(p×p)+(-2×o×q)+(-2×p×q)+(1×q×q))
=	{ 1×A → A }
	((o×o)+(2×o×p)+(p×p)+(-2×o×q)+(-2×p×q)+(q×q))

Beautify

	((o×o)+(2×o×p)+(p×p)+(-2×o×q)+(-2×p×q)+(q×q))
=	{ beautify }
	(o²+2op+p²-2oq-2pq+q²)

let f(z,c)=z²+c in f(Z+z,C+c)-f(Z,C) → (c+2Zz+z²)

Parse

	let f(z,c)=z²+c in f(Z+z,C+c)-f(Z,C)
=	{ parse }
	((((Z+z)×(Z+z))+(C+c))+(-1×((Z×Z)+C)))

Sum of products

	((((Z+z)×(Z+z))+(C+c))+(-1×((Z×Z)+C)))
=	{ A×(B+C) → (A×B)+(A×C) }
	(((((Z+z)×Z)+((Z+z)×z))+(C+c))+(-1×((Z×Z)+C)))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((Z×Z)+(z×Z))+((Z+z)×z))+(C+c))+(-1×((Z×Z)+C)))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((Z×Z)+(z×Z))+((Z×z)+(z×z)))+(C+c))+(-1×((Z×Z)+C)))
=	{ A+(B+C) → (A+B)+C }
	((((((Z×Z)+(z×Z))+(Z×z))+(z×z))+(C+c))+(-1×((Z×Z)+C)))
=	{ A+(B+C) → (A+B)+C }
	(((((((Z×Z)+(z×Z))+(Z×z))+(z×z))+C)+c)+(-1×((Z×Z)+C)))
=	{ A×(B+C) → (A×B)+(A×C) }
	(((((((Z×Z)+(z×Z))+(Z×z))+(z×z))+C)+c)+((-1×(Z×Z))+(-1×C)))
=	{ A×(B×C) → (A×B)×C }
	(((((((Z×Z)+(z×Z))+(Z×z))+(z×z))+C)+c)+(((-1×Z)×Z)+(-1×C)))
=	{ A+(B+C) → (A+B)+C }
	((((((((Z×Z)+(z×Z))+(Z×z))+(z×z))+C)+c)+((-1×Z)×Z))+(-1×C))

Flatten

	((((((((Z×Z)+(z×Z))+(Z×z))+(z×z))+C)+c)+((-1×Z)×Z))+(-1×C))
=	{ flatten }
	((Z×Z)+(z×Z)+(Z×z)+(z×z)+C+c+(-1×Z×Z)+(-1×C))

Scalar multiple

	((Z×Z)+(z×Z)+(Z×z)+(z×z)+C+c+(-1×Z×Z)+(-1×C))
=	{ A×... → 1×A×... }
	((1×Z×Z)+(z×Z)+(Z×z)+(z×z)+C+c+(-1×Z×Z)+(-1×C))
=	{ A×... → 1×A×... }
	((1×Z×Z)+(1×z×Z)+(Z×z)+(z×z)+C+c+(-1×Z×Z)+(-1×C))
=	{ A×... → 1×A×... }
	((1×Z×Z)+(1×z×Z)+(1×Z×z)+(z×z)+C+c+(-1×Z×Z)+(-1×C))
=	{ A×... → 1×A×... }
	((1×Z×Z)+(1×z×Z)+(1×Z×z)+(1×z×z)+C+c+(-1×Z×Z)+(-1×C))
=	{ A+... → (1×A)+... }
	((1×Z×Z)+(1×z×Z)+(1×Z×z)+(1×z×z)+(1×C)+c+(-1×Z×Z)+(-1×C))
=	{ A+... → (1×A)+... }
	((1×Z×Z)+(1×z×Z)+(1×Z×z)+(1×z×z)+(1×C)+(1×c)+(-1×Z×Z)+(-1×C))

Sort

	((1×Z×Z)+(1×z×Z)+(1×Z×z)+(1×z×z)+(1×C)+(1×c)+(-1×Z×Z)+(-1×C))
=	{ B×A → A×B }
	((1×Z×Z)+(1×Z×z)+(1×Z×z)+(1×z×z)+(1×C)+(1×c)+(-1×Z×Z)+(-1×C))
=	{ B+A → A+B }
	((1×Z×Z)+(1×Z×z)+(1×Z×z)+(1×C)+(1×z×z)+(1×c)+(-1×Z×Z)+(-1×C))
=	{ B+A → A+B }
	((1×Z×Z)+(1×Z×z)+(1×C)+(1×Z×z)+(1×z×z)+(1×c)+(-1×Z×Z)+(-1×C))
=	{ B+A → A+B }
	((1×Z×Z)+(1×C)+(1×Z×z)+(1×Z×z)+(1×z×z)+(1×c)+(-1×Z×Z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(1×Z×Z)+(1×Z×z)+(1×Z×z)+(1×z×z)+(1×c)+(-1×Z×Z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(1×Z×Z)+(1×Z×z)+(1×Z×z)+(1×c)+(1×z×z)+(-1×Z×Z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(1×Z×Z)+(1×Z×z)+(1×c)+(1×Z×z)+(1×z×z)+(-1×Z×Z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z)+(-1×Z×Z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(-1×Z×Z)+(1×z×z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(1×Z×Z)+(1×c)+(1×Z×z)+(-1×Z×Z)+(1×Z×z)+(1×z×z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(1×Z×Z)+(1×c)+(-1×Z×Z)+(1×Z×z)+(1×Z×z)+(1×z×z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(1×Z×Z)+(-1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(-1×Z×Z)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z)+(-1×C))
=	{ B+A → A+B }
	((1×C)+(-1×Z×Z)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(-1×C)+(1×z×z))
=	{ B+A → A+B }
	((1×C)+(-1×Z×Z)+(1×Z×Z)+(1×c)+(1×Z×z)+(-1×C)+(1×Z×z)+(1×z×z))
=	{ B+A → A+B }
	((1×C)+(-1×Z×Z)+(1×Z×Z)+(1×c)+(-1×C)+(1×Z×z)+(1×Z×z)+(1×z×z))
=	{ B+A → A+B }
	((1×C)+(-1×Z×Z)+(1×Z×Z)+(-1×C)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z))
=	{ B+A → A+B }
	((1×C)+(-1×Z×Z)+(-1×C)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z))
=	{ B+A → A+B }
	((1×C)+(-1×C)+(-1×Z×Z)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z))
=	{ B+A → A+B }
	((-1×C)+(1×C)+(-1×Z×Z)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z))

Fold constants

((-1×C)+(1×C)+(-1×Z×Z)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z))

Collect

	((-1×C)+(1×C)+(-1×Z×Z)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z))
=	{ (mA)+(nA) \to (m+n)A }
	((0×C)+(-1×Z×Z)+(1×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z))
=	{ (mA)+(nA) \to (m+n)A }
	((0×C)+(0×Z×Z)+(1×c)+(1×Z×z)+(1×Z×z)+(1×z×z))
=	{ (mA)+(nA) \to (m+n)A }
	((0×C)+(0×Z×Z)+(1×c)+(2×Z×z)+(1×z×z))

Simplify

	((0×C)+(0×Z×Z)+(1×c)+(2×Z×z)+(1×z×z))
=	{ 0×A → 0 }
	(0+(0×Z×Z)+(1×c)+(2×Z×z)+(1×z×z))
=	{ 0+A → A }
	((0×Z×Z)+(1×c)+(2×Z×z)+(1×z×z))
=	{ 0×A → 0 }
	(0+(1×c)+(2×Z×z)+(1×z×z))
=	{ 0+A → A }
	((1×c)+(2×Z×z)+(1×z×z))
=	{ 1×A → A }
	((c)+(2×Z×z)+(1×z×z))
=	{ 1×A → A }
	((c)+(2×Z×z)+(z×z))

Beautify

	((c)+(2×Z×z)+(z×z))
=	{ beautify }
	(c+2Zz+z²)

let z=a₁c+a₂c²+a₃c³ in c+2Zz+z² → ((1+2Za₁)c+(a₁²+2Za₂)c²+(2a₁a₂+2Za₃)c³+O(c⁴))

Parse

	let z=a₁c+a₂c²+a₃c³ in c+2Zz+z²
=	{ parse }
	((c+((2×Z)×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))

Sum of products

	((c+((2×Z)×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((c+((2×Z)×(((a₁×c)+((a₂×c)×c))+(a₃×((c×c)×c)))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((c+((2×Z)×(((a₁×c)+((a₂×c)×c))+((a₃×(c×c))×c))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((c+((2×Z)×(((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B+C) → (A×B)+(A×C) }
	((c+(((2×Z)×((a₁×c)+((a₂×c)×c)))+((2×Z)×(((a₃×c)×c)×c))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B+C) → (A×B)+(A×C) }
	((c+((((2×Z)×(a₁×c))+((2×Z)×((a₂×c)×c)))+((2×Z)×(((a₃×c)×c)×c))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((c+(((((2×Z)×a₁)×c)+((2×Z)×((a₂×c)×c)))+((2×Z)×(((a₃×c)×c)×c))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((c+(((((2×Z)×a₁)×c)+(((2×Z)×(a₂×c))×c))+((2×Z)×(((a₃×c)×c)×c))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((c+(((((2×Z)×a₁)×c)+((((2×Z)×a₂)×c)×c))+((2×Z)×(((a₃×c)×c)×c))))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((c+(((((2×Z)×a₁)×c)+((((2×Z)×a₂)×c)×c))+(((2×Z)×((a₃×c)×c))×c)))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((c+(((((2×Z)×a₁)×c)+((((2×Z)×a₂)×c)×c))+((((2×Z)×(a₃×c))×c)×c)))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((c+(((((2×Z)×a₁)×c)+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c)))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A+(B+C) → (A+B)+C }
	(((c+((((2×Z)×a₁)×c)+((((2×Z)×a₂)×c)×c)))+(((((2×Z)×a₃)×c)×c)×c))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A+(B+C) → (A+B)+C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((a₁×c)+((a₂×c)×c))+(a₃×((c×c)×c)))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((a₁×c)+((a₂×c)×c))+((a₃×(c×c))×c))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₁×c)+(a₂×(c×c)))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₁×c)+((a₂×c)×c))+(a₃×((c×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₁×c)+((a₂×c)×c))+((a₃×(c×c))×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))))
=	{ A×(B+C) → (A×B)+(A×C) }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×((a₁×c)+((a₂×c)×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B+C) → (A×B)+(A×C) }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(a₁×c))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×((a₂×c)×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((((a₁×c)+((a₂×c)×c))×(a₁×c))+((((a₃×c)×c)×c)×(a₁×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×((a₂×c)×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((((a₁×c)×(a₁×c))+(((a₂×c)×c)×(a₁×c)))+((((a₃×c)×c)×c)×(a₁×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×((a₂×c)×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+(((a₂×c)×c)×(a₁×c)))+((((a₃×c)×c)×c)×(a₁×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×((a₂×c)×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+((((a₃×c)×c)×c)×(a₁×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×((a₂×c)×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×((a₂×c)×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)+((a₂×c)×c))×((a₂×c)×c))+((((a₃×c)×c)×c)×((a₂×c)×c))))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×((a₂×c)×c))+(((a₂×c)×c)×((a₂×c)×c)))+((((a₃×c)×c)×c)×((a₂×c)×c))))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+(((((a₁×c)×(a₂×c))×c)+(((a₂×c)×c)×((a₂×c)×c)))+((((a₃×c)×c)×c)×((a₂×c)×c))))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((((a₁×c)×a₂)×c)×c)+(((a₂×c)×c)×((a₂×c)×c)))+((((a₃×c)×c)×c)×((a₂×c)×c))))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((((a₁×c)×a₂)×c)×c)+((((a₂×c)×c)×(a₂×c))×c))+((((a₃×c)×c)×c)×((a₂×c)×c))))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((((a₁×c)×a₂)×c)×c)+(((((a₂×c)×c)×a₂)×c)×c))+((((a₃×c)×c)×c)×((a₂×c)×c))))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((((a₁×c)×a₂)×c)×c)+(((((a₂×c)×c)×a₂)×c)×c))+(((((a₃×c)×c)×c)×(a₂×c))×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((((a₁×c)×a₂)×c)×c)+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c)))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A+(B+C) → (A+B)+C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+(((((a₁×c)×a₂)×c)×c)+(((((a₂×c)×c)×a₂)×c)×c)))+((((((a₃×c)×c)×c)×a₂)×c)×c))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ A+(B+C) → (A+B)+C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+((((a₁×c)+((a₂×c)×c))+(((a₃×c)×c)×c))×(((a₃×c)×c)×c))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+((((a₁×c)+((a₂×c)×c))×(((a₃×c)×c)×c))+((((a₃×c)×c)×c)×(((a₃×c)×c)×c)))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+((((a₁×c)×(((a₃×c)×c)×c))+(((a₂×c)×c)×(((a₃×c)×c)×c)))+((((a₃×c)×c)×c)×(((a₃×c)×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×((a₃×c)×c))×c)+(((a₂×c)×c)×(((a₃×c)×c)×c)))+((((a₃×c)×c)×c)×(((a₃×c)×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+((((((a₁×c)×(a₃×c))×c)×c)+(((a₂×c)×c)×(((a₃×c)×c)×c)))+((((a₃×c)×c)×c)×(((a₃×c)×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((((a₁×c)×a₃)×c)×c)×c)+(((a₂×c)×c)×(((a₃×c)×c)×c)))+((((a₃×c)×c)×c)×(((a₃×c)×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((((a₁×c)×a₃)×c)×c)×c)+((((a₂×c)×c)×((a₃×c)×c))×c))+((((a₃×c)×c)×c)×(((a₃×c)×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((((a₁×c)×a₃)×c)×c)×c)+(((((a₂×c)×c)×(a₃×c))×c)×c))+((((a₃×c)×c)×c)×(((a₃×c)×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((((a₁×c)×a₃)×c)×c)×c)+((((((a₂×c)×c)×a₃)×c)×c)×c))+((((a₃×c)×c)×c)×(((a₃×c)×c)×c)))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((((a₁×c)×a₃)×c)×c)×c)+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((a₃×c)×c)×c)×((a₃×c)×c))×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((((a₁×c)×a₃)×c)×c)×c)+((((((a₂×c)×c)×a₃)×c)×c)×c))+((((((a₃×c)×c)×c)×(a₃×c))×c)×c))))
=	{ A×(B×C) → (A×B)×C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((((a₁×c)×a₃)×c)×c)×c)+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))))
=	{ A+(B+C) → (A+B)+C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+((((((a₁×c)×a₃)×c)×c)×c)+((((((a₂×c)×c)×a₃)×c)×c)×c)))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c)))
=	{ A+(B+C) → (A+B)+C }
	((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×a₃)×c)×c)×c))+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c)))
=	{ A+(B+C) → (A+B)+C }
	(((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×a₃)×c)×c)×c))+((((((a₂×c)×c)×a₃)×c)×c)×c)))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))
=	{ A+(B+C) → (A+B)+C }
	((((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×a₃)×c)×c)×c)))+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))
=	{ A+(B+C) → (A+B)+C }
	(((((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c)))+(((((a₁×c)×a₃)×c)×c)×c))+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))
=	{ A+(B+C) → (A+B)+C }
	((((((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c)))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×a₃)×c)×c)×c))+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))
=	{ A+(B+C) → (A+B)+C }
	(((((((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c)))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×a₃)×c)×c)×c))+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))
=	{ A+(B+C) → (A+B)+C }
	((((((((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c)))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×a₃)×c)×c)×c))+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))
=	{ A+(B+C) → (A+B)+C }
	(((((((((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+((((a₁×c)×a₁)×c)+((((a₂×c)×c)×a₁)×c)))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×a₃)×c)×c)×c))+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))
=	{ A+(B+C) → (A+B)+C }
	((((((((((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((a₁×c)×a₁)×c))+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×a₃)×c)×c)×c))+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))

Flatten

	((((((((((((c+(((2×Z)×a₁)×c))+((((2×Z)×a₂)×c)×c))+(((((2×Z)×a₃)×c)×c)×c))+(((a₁×c)×a₁)×c))+((((a₂×c)×c)×a₁)×c))+(((((a₃×c)×c)×c)×a₁)×c))+((((a₁×c)×a₂)×c)×c))+(((((a₂×c)×c)×a₂)×c)×c))+((((((a₃×c)×c)×c)×a₂)×c)×c))+(((((a₁×c)×a₃)×c)×c)×c))+((((((a₂×c)×c)×a₃)×c)×c)×c))+(((((((a₃×c)×c)×c)×a₃)×c)×c)×c))
=	{ flatten }
	(c+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(a₁×c×a₁×c)+(a₂×c×c×a₁×c)+(a₃×c×c×c×a₁×c)+(a₁×c×a₂×c×c)+(a₂×c×c×a₂×c×c)+(a₃×c×c×c×a₂×c×c)+(a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))

Scalar multiple

	(c+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(a₁×c×a₁×c)+(a₂×c×c×a₁×c)+(a₃×c×c×c×a₁×c)+(a₁×c×a₂×c×c)+(a₂×c×c×a₂×c×c)+(a₃×c×c×c×a₂×c×c)+(a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A+... → (1×A)+... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(a₁×c×a₁×c)+(a₂×c×c×a₁×c)+(a₃×c×c×c×a₁×c)+(a₁×c×a₂×c×c)+(a₂×c×c×a₂×c×c)+(a₃×c×c×c×a₂×c×c)+(a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A×... → 1×A×... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(a₂×c×c×a₁×c)+(a₃×c×c×c×a₁×c)+(a₁×c×a₂×c×c)+(a₂×c×c×a₂×c×c)+(a₃×c×c×c×a₂×c×c)+(a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A×... → 1×A×... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(1×a₂×c×c×a₁×c)+(a₃×c×c×c×a₁×c)+(a₁×c×a₂×c×c)+(a₂×c×c×a₂×c×c)+(a₃×c×c×c×a₂×c×c)+(a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A×... → 1×A×... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(a₁×c×a₂×c×c)+(a₂×c×c×a₂×c×c)+(a₃×c×c×c×a₂×c×c)+(a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A×... → 1×A×... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(a₂×c×c×a₂×c×c)+(a₃×c×c×c×a₂×c×c)+(a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A×... → 1×A×... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(a₃×c×c×c×a₂×c×c)+(a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A×... → 1×A×... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A×... → 1×A×... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A×... → 1×A×... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(a₃×c×c×c×a₃×c×c×c))
=	{ A×... → 1×A×... }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))

Sort

	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₁×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(2×Z×a₂×c×c)+(1×a₁×c×a₁×c)+(2×Z×a₃×c×c×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×c×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×c×c×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₂×c×c×a₁×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(1×a₂×c×c×a₁×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₂×c×c×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₂×c×a₁×c×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(1×a₂×c×a₁×c×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(1×a₂×a₁×c×c×c)+(2×Z×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₂×a₁×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₃×c×c×c×a₁×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(1×a₃×c×c×c×a₁×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₃×c×c×c×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₃×c×c×a₁×c×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(1×a₃×c×c×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(1×a₃×c×a₁×c×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₃×c×a₁×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₃×a₁×c×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₂×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×c×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×c×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(1×a₂×c×c×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₂×c×c×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₂×c×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₂×c×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(1×a₂×c×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(1×a₂×a₂×c×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×a₁×c×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₃×c×c×c×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₃×c×c×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₃×c×c×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(1×a₃×c×c×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(1×a₃×c×a₂×c×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×a₂×c×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₃×c×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×c×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×c×c×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×c×a₃×c×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₂×c×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×c×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×c×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×a₂×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×c×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₃×c×c×a₃×c×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₃×c×c×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×c×c×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×c×c×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₃×c×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×c×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c))
=	{ B+A → A+B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×c×a₃×c×c×c×c×c))
=	{ B×A → A×B }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))

Fold constants

((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))

Collect

	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(1×a₁×a₂×c×c×c)+(1×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (mA)+(nA) \to (m+n)A }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(2×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (mA)+(nA) \to (m+n)A }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(2×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(2×a₁×a₃×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (mA)+(nA) \to (m+n)A }
	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(2×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(2×a₁×a₃×c×c×c×c)+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))

Group

	((1×c)+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(2×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(2×a₁×a₃×c×c×c×c)+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+(2×Z×a₁×c)+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(2×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(2×a₁×a₃×c×c×c×c)+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+((2×Z×a₁)×(c))+(1×a₁×a₁×c×c)+(2×Z×a₂×c×c)+(2×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(2×a₁×a₃×c×c×c×c)+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+((2×Z×a₁)×(c))+((1×a₁×a₁)×(c×c))+(2×Z×a₂×c×c)+(2×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(2×a₁×a₃×c×c×c×c)+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+((2×Z×a₁)×(c))+((1×a₁×a₁)×(c×c))+((2×Z×a₂)×(c×c))+(2×a₁×a₂×c×c×c)+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(2×a₁×a₃×c×c×c×c)+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+((2×Z×a₁)×(c))+((1×a₁×a₁)×(c×c))+((2×Z×a₂)×(c×c))+((2×a₁×a₂)×(c×c×c))+(2×Z×a₃×c×c×c)+(1×a₂×a₂×c×c×c×c)+(2×a₁×a₃×c×c×c×c)+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+((2×Z×a₁)×(c))+((1×a₁×a₁)×(c×c))+((2×Z×a₂)×(c×c))+((2×a₁×a₂)×(c×c×c))+((2×Z×a₃)×(c×c×c))+(1×a₂×a₂×c×c×c×c)+(2×a₁×a₃×c×c×c×c)+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+((2×Z×a₁)×(c))+((1×a₁×a₁)×(c×c))+((2×Z×a₂)×(c×c))+((2×a₁×a₂)×(c×c×c))+((2×Z×a₃)×(c×c×c))+((1×a₂×a₂)×(c×c×c×c))+(2×a₁×a₃×c×c×c×c)+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+((2×Z×a₁)×(c))+((1×a₁×a₁)×(c×c))+((2×Z×a₂)×(c×c))+((2×a₁×a₂)×(c×c×c))+((2×Z×a₃)×(c×c×c))+((1×a₂×a₂)×(c×c×c×c))+((2×a₁×a₃)×(c×c×c×c))+(2×a₂×a₃×c×c×c×c×c)+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+((2×Z×a₁)×(c))+((1×a₁×a₁)×(c×c))+((2×Z×a₂)×(c×c))+((2×a₁×a₂)×(c×c×c))+((2×Z×a₃)×(c×c×c))+((1×a₂×a₂)×(c×c×c×c))+((2×a₁×a₃)×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+(1×a₃×a₃×c×c×c×c×c×c))
=	{ (A×B^n) → (A)×(B^n) }
	(((1)×(c))+((2×Z×a₁)×(c))+((1×a₁×a₁)×(c×c))+((2×Z×a₂)×(c×c))+((2×a₁×a₂)×(c×c×c))+((2×Z×a₃)×(c×c×c))+((1×a₂×a₂)×(c×c×c×c))+((2×a₁×a₃)×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))

Collect

	(((1)×(c))+((2×Z×a₁)×(c))+((1×a₁×a₁)×(c×c))+((2×Z×a₂)×(c×c))+((2×a₁×a₂)×(c×c×c))+((2×Z×a₃)×(c×c×c))+((1×a₂×a₂)×(c×c×c×c))+((2×a₁×a₃)×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))
=	{ (A×C)+(B×C)+... → (A+B+...)×C }
	((((1)+(2×Z×a₁))×(c))+((1×a₁×a₁)×(c×c))+((2×Z×a₂)×(c×c))+((2×a₁×a₂)×(c×c×c))+((2×Z×a₃)×(c×c×c))+((1×a₂×a₂)×(c×c×c×c))+((2×a₁×a₃)×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))
=	{ (A×C)+(B×C)+... → (A+B+...)×C }
	((((1)+(2×Z×a₁))×(c))+(((1×a₁×a₁)+(2×Z×a₂))×(c×c))+((2×a₁×a₂)×(c×c×c))+((2×Z×a₃)×(c×c×c))+((1×a₂×a₂)×(c×c×c×c))+((2×a₁×a₃)×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))
=	{ (A×C)+(B×C)+... → (A+B+...)×C }
	((((1)+(2×Z×a₁))×(c))+(((1×a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+((1×a₂×a₂)×(c×c×c×c))+((2×a₁×a₃)×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))
=	{ (A×C)+(B×C)+... → (A+B+...)×C }
	((((1)+(2×Z×a₁))×(c))+(((1×a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+(((1×a₂×a₂)+(2×a₁×a₃))×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))

Small

	((((1)+(2×Z×a₁))×(c))+(((1×a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+(((1×a₂×a₂)+(2×a₁×a₃))×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))
=	{ (A) → A }
	(((1+(2×Z×a₁))×(c))+(((1×a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+(((1×a₂×a₂)+(2×a₁×a₃))×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))
=	{ (A) → A }
	(((1+(2×Z×a₁))×c)+(((1×a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+(((1×a₂×a₂)+(2×a₁×a₃))×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))

Simplify

	(((1+(2×Z×a₁))×c)+(((1×a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+(((1×a₂×a₂)+(2×a₁×a₃))×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))
=	{ 1×A → A }
	(((1+(2×Z×a₁))×c)+(((a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+(((1×a₂×a₂)+(2×a₁×a₃))×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))
=	{ 1×A → A }
	(((1+(2×Z×a₁))×c)+(((a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+(((a₂×a₂)+(2×a₁×a₃))×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((1×a₃×a₃)×(c×c×c×c×c×c)))
=	{ 1×A → A }
	(((1+(2×Z×a₁))×c)+(((a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+(((a₂×a₂)+(2×a₁×a₃))×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((a₃×a₃)×(c×c×c×c×c×c)))

Prune

	(((1+(2×Z×a₁))×c)+(((a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+(((a₂×a₂)+(2×a₁×a₃))×(c×c×c×c))+((2×a₂×a₃)×(c×c×c×c×c))+((a₃×a₃)×(c×c×c×c×c×c)))
=	{ prune }
	(((1+(2×Z×a₁))×c)+(((a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+O(c⁴))

Beautify

	(((1+(2×Z×a₁))×c)+(((a₁×a₁)+(2×Z×a₂))×(c×c))+(((2×a₁×a₂)+(2×Z×a₃))×(c×c×c))+O(c⁴))
=	{ beautify }
	((1+2Za₁)c+(a₁²+2Za₂)c²+(2a₁a₂+2Za₃)c³+O(c⁴))

Z³+C → ((Re(C)-3Im(Z)²Re(Z)+Re(Z)³)i+(Im(C)-1Im(Z)³+3Im(Z)Re(Z)²)j)

Parse

	Z³+C
=	{ parse }
	(((Z×Z)×Z)+C)

Complex

	(((Z×Z)×Z)+C)
=	{ complex }
	(((((i×Re(Z))+(j×Im(Z)))×Z)×Z)+C)
=	{ complex }
	(((((i×Re(Z))+(j×Im(Z)))×((i×Re(Z))+(j×Im(Z))))×Z)+C)
=	{ complex }
	(((((i×Re(Z))+(j×Im(Z)))×((i×Re(Z))+(j×Im(Z))))×((i×Re(Z))+(j×Im(Z))))+C)
=	{ complex }
	(((((i×Re(Z))+(j×Im(Z)))×((i×Re(Z))+(j×Im(Z))))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))

Sum of products

	(((((i×Re(Z))+(j×Im(Z)))×((i×Re(Z))+(j×Im(Z))))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B+C) → (A×B)+(A×C) }
	((((((i×Re(Z))+(j×Im(Z)))×(i×Re(Z)))+(((i×Re(Z))+(j×Im(Z)))×(j×Im(Z))))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((((i×Re(Z))×(i×Re(Z)))+((j×Im(Z))×(i×Re(Z))))+(((i×Re(Z))+(j×Im(Z)))×(j×Im(Z))))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	(((((((i×Re(Z))×i)×Re(Z))+((j×Im(Z))×(i×Re(Z))))+(((i×Re(Z))+(j×Im(Z)))×(j×Im(Z))))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))+(j×Im(Z)))×(j×Im(Z))))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×(j×Im(Z)))+((j×Im(Z))×(j×Im(Z)))))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+((((i×Re(Z))×j)×Im(Z))+((j×Im(Z))×(j×Im(Z)))))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+((((i×Re(Z))×j)×Im(Z))+(((j×Im(Z))×j)×Im(Z))))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A+(B+C) → (A+B)+C }
	((((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×((i×Re(Z))+(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B+C) → (A×B)+(A×C) }
	(((((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×(i×Re(Z)))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))×(i×Re(Z)))+((((j×Im(Z))×j)×Im(Z))×(i×Re(Z))))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))×(i×Re(Z)))+((((i×Re(Z))×j)×Im(Z))×(i×Re(Z))))+((((j×Im(Z))×j)×Im(Z))×(i×Re(Z))))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ (A+B)×C → (A×C)+(B×C) }
	(((((((((i×Re(Z))×i)×Re(Z))×(i×Re(Z)))+((((j×Im(Z))×i)×Re(Z))×(i×Re(Z))))+((((i×Re(Z))×j)×Im(Z))×(i×Re(Z))))+((((j×Im(Z))×j)×Im(Z))×(i×Re(Z))))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+((((j×Im(Z))×i)×Re(Z))×(i×Re(Z))))+((((i×Re(Z))×j)×Im(Z))×(i×Re(Z))))+((((j×Im(Z))×j)×Im(Z))×(i×Re(Z))))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+((((i×Re(Z))×j)×Im(Z))×(i×Re(Z))))+((((j×Im(Z))×j)×Im(Z))×(i×Re(Z))))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+((((j×Im(Z))×j)×Im(Z))×(i×Re(Z))))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))+(((j×Im(Z))×j)×Im(Z)))×(j×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))+(((i×Re(Z))×j)×Im(Z)))×(j×Im(Z)))+((((j×Im(Z))×j)×Im(Z))×(j×Im(Z)))))+((i×Re(C))+(j×Im(C))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+(((((((i×Re(Z))×i)×Re(Z))+(((j×Im(Z))×i)×Re(Z)))×(j×Im(Z)))+((((i×Re(Z))×j)×Im(Z))×(j×Im(Z))))+((((j×Im(Z))×j)×Im(Z))×(j×Im(Z)))))+((i×Re(C))+(j×Im(C))))
=	{ (A+B)×C → (A×C)+(B×C) }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+(((((((i×Re(Z))×i)×Re(Z))×(j×Im(Z)))+((((j×Im(Z))×i)×Re(Z))×(j×Im(Z))))+((((i×Re(Z))×j)×Im(Z))×(j×Im(Z))))+((((j×Im(Z))×j)×Im(Z))×(j×Im(Z)))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+((((((((i×Re(Z))×i)×Re(Z))×j)×Im(Z))+((((j×Im(Z))×i)×Re(Z))×(j×Im(Z))))+((((i×Re(Z))×j)×Im(Z))×(j×Im(Z))))+((((j×Im(Z))×j)×Im(Z))×(j×Im(Z)))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+((((((((i×Re(Z))×i)×Re(Z))×j)×Im(Z))+(((((j×Im(Z))×i)×Re(Z))×j)×Im(Z)))+((((i×Re(Z))×j)×Im(Z))×(j×Im(Z))))+((((j×Im(Z))×j)×Im(Z))×(j×Im(Z)))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+((((((((i×Re(Z))×i)×Re(Z))×j)×Im(Z))+(((((j×Im(Z))×i)×Re(Z))×j)×Im(Z)))+(((((i×Re(Z))×j)×Im(Z))×j)×Im(Z)))+((((j×Im(Z))×j)×Im(Z))×(j×Im(Z)))))+((i×Re(C))+(j×Im(C))))
=	{ A×(B×C) → (A×B)×C }
	((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+((((((((i×Re(Z))×i)×Re(Z))×j)×Im(Z))+(((((j×Im(Z))×i)×Re(Z))×j)×Im(Z)))+(((((i×Re(Z))×j)×Im(Z))×j)×Im(Z)))+(((((j×Im(Z))×j)×Im(Z))×j)×Im(Z))))+((i×Re(C))+(j×Im(C))))
=	{ A+(B+C) → (A+B)+C }
	(((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+(((((((i×Re(Z))×i)×Re(Z))×j)×Im(Z))+(((((j×Im(Z))×i)×Re(Z))×j)×Im(Z)))+(((((i×Re(Z))×j)×Im(Z))×j)×Im(Z))))+(((((j×Im(Z))×j)×Im(Z))×j)×Im(Z)))+((i×Re(C))+(j×Im(C))))
=	{ A+(B+C) → (A+B)+C }
	((((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+((((((i×Re(Z))×i)×Re(Z))×j)×Im(Z))+(((((j×Im(Z))×i)×Re(Z))×j)×Im(Z))))+(((((i×Re(Z))×j)×Im(Z))×j)×Im(Z)))+(((((j×Im(Z))×j)×Im(Z))×j)×Im(Z)))+((i×Re(C))+(j×Im(C))))
=	{ A+(B+C) → (A+B)+C }
	(((((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+(((((i×Re(Z))×i)×Re(Z))×j)×Im(Z)))+(((((j×Im(Z))×i)×Re(Z))×j)×Im(Z)))+(((((i×Re(Z))×j)×Im(Z))×j)×Im(Z)))+(((((j×Im(Z))×j)×Im(Z))×j)×Im(Z)))+((i×Re(C))+(j×Im(C))))
=	{ A+(B+C) → (A+B)+C }
	((((((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+(((((i×Re(Z))×i)×Re(Z))×j)×Im(Z)))+(((((j×Im(Z))×i)×Re(Z))×j)×Im(Z)))+(((((i×Re(Z))×j)×Im(Z))×j)×Im(Z)))+(((((j×Im(Z))×j)×Im(Z))×j)×Im(Z)))+(i×Re(C)))+(j×Im(C)))

Flatten

	((((((((((((((i×Re(Z))×i)×Re(Z))×i)×Re(Z))+(((((j×Im(Z))×i)×Re(Z))×i)×Re(Z)))+(((((i×Re(Z))×j)×Im(Z))×i)×Re(Z)))+(((((j×Im(Z))×j)×Im(Z))×i)×Re(Z)))+(((((i×Re(Z))×i)×Re(Z))×j)×Im(Z)))+(((((j×Im(Z))×i)×Re(Z))×j)×Im(Z)))+(((((i×Re(Z))×j)×Im(Z))×j)×Im(Z)))+(((((j×Im(Z))×j)×Im(Z))×j)×Im(Z)))+(i×Re(C)))+(j×Im(C)))
=	{ flatten }
	((i×Re(Z)×i×Re(Z)×i×Re(Z))+(j×Im(Z)×i×Re(Z)×i×Re(Z))+(i×Re(Z)×j×Im(Z)×i×Re(Z))+(j×Im(Z)×j×Im(Z)×i×Re(Z))+(i×Re(Z)×i×Re(Z)×j×Im(Z))+(j×Im(Z)×i×Re(Z)×j×Im(Z))+(i×Re(Z)×j×Im(Z)×j×Im(Z))+(j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))

Scalar multiple

	((i×Re(Z)×i×Re(Z)×i×Re(Z))+(j×Im(Z)×i×Re(Z)×i×Re(Z))+(i×Re(Z)×j×Im(Z)×i×Re(Z))+(j×Im(Z)×j×Im(Z)×i×Re(Z))+(i×Re(Z)×i×Re(Z)×j×Im(Z))+(j×Im(Z)×i×Re(Z)×j×Im(Z))+(i×Re(Z)×j×Im(Z)×j×Im(Z))+(j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(j×Im(Z)×i×Re(Z)×i×Re(Z))+(i×Re(Z)×j×Im(Z)×i×Re(Z))+(j×Im(Z)×j×Im(Z)×i×Re(Z))+(i×Re(Z)×i×Re(Z)×j×Im(Z))+(j×Im(Z)×i×Re(Z)×j×Im(Z))+(i×Re(Z)×j×Im(Z)×j×Im(Z))+(j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(i×Re(Z)×j×Im(Z)×i×Re(Z))+(j×Im(Z)×j×Im(Z)×i×Re(Z))+(i×Re(Z)×i×Re(Z)×j×Im(Z))+(j×Im(Z)×i×Re(Z)×j×Im(Z))+(i×Re(Z)×j×Im(Z)×j×Im(Z))+(j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(j×Im(Z)×j×Im(Z)×i×Re(Z))+(i×Re(Z)×i×Re(Z)×j×Im(Z))+(j×Im(Z)×i×Re(Z)×j×Im(Z))+(i×Re(Z)×j×Im(Z)×j×Im(Z))+(j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(i×Re(Z)×i×Re(Z)×j×Im(Z))+(j×Im(Z)×i×Re(Z)×j×Im(Z))+(i×Re(Z)×j×Im(Z)×j×Im(Z))+(j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(j×Im(Z)×i×Re(Z)×j×Im(Z))+(i×Re(Z)×j×Im(Z)×j×Im(Z))+(j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(i×Re(Z)×j×Im(Z)×j×Im(Z))+(j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(j×Im(C)))
=	{ A×... → 1×A×... }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))

Sort

	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×j×Im(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×j×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×i×Re(Z)×i×Re(Z)×i×Re(Z))+(1×Im(Z)×j×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×i×i×Re(Z)×i×Re(Z))+(1×Im(Z)×j×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×i×Re(Z)×i×i×Re(Z))+(1×Im(Z)×j×i×Re(Z)×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Im(Z)×j×i×Re(Z)×i×Re(Z))+(1×Re(Z)×i×Re(Z)×i×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×i×j×Re(Z)×i×Re(Z))+(1×Re(Z)×i×Re(Z)×i×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×i×Re(Z)×j×i×Re(Z))+(1×Re(Z)×i×Re(Z)×i×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×i×Re(Z)×i×i×Re(Z))+(1×Im(Z)×i×Re(Z)×j×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×i×i×i×Re(Z))+(1×Im(Z)×i×Re(Z)×j×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×i×i×Re(Z)×i)+(1×Im(Z)×i×Re(Z)×j×i×Re(Z))+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Im(Z)×i×Re(Z)×j×i×Re(Z))+(1×Re(Z)×Re(Z)×i×i×Re(Z)×i)+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×j×i×Re(Z))+(1×Re(Z)×Re(Z)×i×i×Re(Z)×i)+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×i×j×Re(Z))+(1×Re(Z)×Re(Z)×i×i×Re(Z)×i)+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×Re(Z)×Re(Z)×i×i×Re(Z)×i)+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×i×i×Re(Z)×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×i×Re(Z)×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×i×Re(Z)×j×Im(Z)×i×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×i×j×Im(Z)×i×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×i×Im(Z)×j×i×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Im(Z)×i×j×i×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×j×i×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×i×j×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×Re(Z)×i×j)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×i×Re(Z)×j)+(1×Im(Z)×Re(Z)×i×Re(Z)×i×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×Re(Z)×i×j)+(1×Im(Z)×Re(Z)×i×Re(Z)×i×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×i×Re(Z)×i×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×Re(Z)×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×j×Im(Z)×j×Im(Z)×i×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×j×j×Im(Z)×i×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×j×Im(Z)×j×i×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Im(Z)×j×j×i×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Im(Z)×j×i×j×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Im(Z)×i×j×j×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Im(Z)×i×j×Re(Z)×j)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Im(Z)×i×j×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×i×Re(Z)×i×Re(Z)×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×i×i×Re(Z)×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×i×Re(Z)×i×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×i×i×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×i×i×Im(Z)×j)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Re(Z)×Re(Z)×i×i×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Re(Z)×Re(Z)×i×Im(Z)×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Re(Z)×Re(Z)×Im(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Re(Z)×Im(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×j×Im(Z)×i×Re(Z)×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×j×i×Re(Z)×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×i×j×Re(Z)×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×i×Re(Z)×j×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×j×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×j×Im(Z)×j)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×j×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×Im(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×i×Im(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×i×Im(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×i×Im(Z)×j×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Im(Z)×i×j×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×i×Re(Z)×j×j)+(1×Im(Z)×Re(Z)×Im(Z)×i×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Re(Z)×Im(Z)×i×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Im(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×i×Re(Z)×j×Im(Z)×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×i×j×Im(Z)×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×i×Im(Z)×j×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Im(Z)×i×j×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×j×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Re(Z)×i×j×Im(Z)×j)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×j×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×i×Im(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×i×Im(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×i×Im(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×i×Im(Z)×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Im(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×j×Im(Z)×j×Im(Z)×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×j×j×Im(Z)×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×j×Im(Z)×j×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Im(Z)×j×j×j×Im(Z))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Im(Z)×Im(Z)×j×j×Im(Z)×j)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Im(Z)×j×j×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Im(Z)×j×Im(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×j×Im(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×j×Im(Z)×j×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×j×Im(Z)×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×i×Re(C))+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×i×Re(C))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(C))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(C))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×i×Re(C))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×i×Re(C))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×i×Re(C))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×j×Im(C)))
=	{ B×A → A×B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j)+(1×j×Im(C)))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(C))+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(C))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×j×Im(C))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(C))+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(C))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×j×Im(C))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×j×Im(C))+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×j×Im(C))+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×j×Im(C))+(1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B×A → A×B }
	((1×Im(C)×j)+(1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Im(C)×j)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))

Imaginary

	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ i² = i }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ i² = i }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ i² = i }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ ij = j }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ i² = i }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ ij = j }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ i² = i }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×i×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ ij = j }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ ij = j }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ j² = -i }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ ij = j }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×j×j)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ j² = -i }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×i×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ ij = j }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×j×j)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ j² = -i }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×j×j×j))
=	{ j² = -i }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×i×j))
=	{ ij = j }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))

Sort

	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Im(Z)×Im(Z)×-1×Re(Z)×i)+(1×Re(C)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Im(Z)×Im(Z)×-1×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(1×Im(Z)×-1×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(1×-1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Im(Z)×Im(Z)×-1×Re(Z)×i)+(1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Im(Z)×Im(Z)×-1×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(1×Im(Z)×-1×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(1×-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Im(Z)×Im(Z)×Re(Z)×-1×i)+(1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Im(Z)×Im(Z)×-1×Re(Z)×i)+(1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(1×Im(Z)×Im(Z)×-1×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(1×Im(Z)×-1×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(1×-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(Z)×Im(Z)×Im(Z)×-1×j)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(Z)×Im(Z)×-1×Im(Z)×j)+(1×Im(C)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ B+A → A+B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×Im(Z)×-1×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×Im(Z)×-1×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(1×-1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ B×A → A×B }
	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))

Fold constants

	((1×Re(C)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (m)×(n) → (m×n) }
	((1×Re(C)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (m)×(n) → (m×n) }
	((1×Re(C)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (m)×(n) → (m×n) }
	((1×Re(C)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (m)×(n) → (m×n) }
	((1×Re(C)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))

Collect

	((1×Re(C)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (mA)+(nA) \to (m+n)A }
	((1×Re(C)×i)+(-2×Im(Z)×Im(Z)×Re(Z)×i)+(-1×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (mA)+(nA) \to (m+n)A }
	((1×Re(C)×i)+(-3×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (mA)+(nA) \to (m+n)A }
	((1×Re(C)×i)+(-3×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(2×Im(Z)×Re(Z)×Re(Z)×j)+(1×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (mA)+(nA) \to (m+n)A }
	((1×Re(C)×i)+(-3×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(3×Im(Z)×Re(Z)×Re(Z)×j))

Group

	((1×Re(C)×i)+(-3×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(3×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (A×B^n) → (A)×(B^n) }
	(((1×Re(C))×(i))+(-3×Im(Z)×Im(Z)×Re(Z)×i)+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(3×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (A×B^n) → (A)×(B^n) }
	(((1×Re(C))×(i))+((-3×Im(Z)×Im(Z)×Re(Z))×(i))+(1×Re(Z)×Re(Z)×Re(Z)×i)+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(3×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (A×B^n) → (A)×(B^n) }
	(((1×Re(C))×(i))+((-3×Im(Z)×Im(Z)×Re(Z))×(i))+((1×Re(Z)×Re(Z)×Re(Z))×(i))+(1×Im(C)×j)+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(3×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (A×B^n) → (A)×(B^n) }
	(((1×Re(C))×(i))+((-3×Im(Z)×Im(Z)×Re(Z))×(i))+((1×Re(Z)×Re(Z)×Re(Z))×(i))+((1×Im(C))×(j))+(-1×Im(Z)×Im(Z)×Im(Z)×j)+(3×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (A×B^n) → (A)×(B^n) }
	(((1×Re(C))×(i))+((-3×Im(Z)×Im(Z)×Re(Z))×(i))+((1×Re(Z)×Re(Z)×Re(Z))×(i))+((1×Im(C))×(j))+((-1×Im(Z)×Im(Z)×Im(Z))×(j))+(3×Im(Z)×Re(Z)×Re(Z)×j))
=	{ (A×B^n) → (A)×(B^n) }
	(((1×Re(C))×(i))+((-3×Im(Z)×Im(Z)×Re(Z))×(i))+((1×Re(Z)×Re(Z)×Re(Z))×(i))+((1×Im(C))×(j))+((-1×Im(Z)×Im(Z)×Im(Z))×(j))+((3×Im(Z)×Re(Z)×Re(Z))×(j)))

Collect

	(((1×Re(C))×(i))+((-3×Im(Z)×Im(Z)×Re(Z))×(i))+((1×Re(Z)×Re(Z)×Re(Z))×(i))+((1×Im(C))×(j))+((-1×Im(Z)×Im(Z)×Im(Z))×(j))+((3×Im(Z)×Re(Z)×Re(Z))×(j)))
=	{ (A×C)+(B×C)+... → (A+B+...)×C }
	((((1×Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)))×(i))+((1×Im(C))×(j))+((-1×Im(Z)×Im(Z)×Im(Z))×(j))+((3×Im(Z)×Re(Z)×Re(Z))×(j)))
=	{ (A×C)+(B×C)+... → (A+B+...)×C }
	((((1×Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)))×(i))+(((1×Im(C))+(-1×Im(Z)×Im(Z)×Im(Z))+(3×Im(Z)×Re(Z)×Re(Z)))×(j)))

Small

	((((1×Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)))×(i))+(((1×Im(C))+(-1×Im(Z)×Im(Z)×Im(Z))+(3×Im(Z)×Re(Z)×Re(Z)))×(j)))
=	{ (A) → A }
	((((1×Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)))×i)+(((1×Im(C))+(-1×Im(Z)×Im(Z)×Im(Z))+(3×Im(Z)×Re(Z)×Re(Z)))×(j)))
=	{ (A) → A }
	((((1×Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)))×i)+(((1×Im(C))+(-1×Im(Z)×Im(Z)×Im(Z))+(3×Im(Z)×Re(Z)×Re(Z)))×j))

Simplify

	((((1×Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)))×i)+(((1×Im(C))+(-1×Im(Z)×Im(Z)×Im(Z))+(3×Im(Z)×Re(Z)×Re(Z)))×j))
=	{ 1×A → A }
	((((Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(1×Re(Z)×Re(Z)×Re(Z)))×i)+(((1×Im(C))+(-1×Im(Z)×Im(Z)×Im(Z))+(3×Im(Z)×Re(Z)×Re(Z)))×j))
=	{ 1×A → A }
	((((Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(Re(Z)×Re(Z)×Re(Z)))×i)+(((1×Im(C))+(-1×Im(Z)×Im(Z)×Im(Z))+(3×Im(Z)×Re(Z)×Re(Z)))×j))
=	{ 1×A → A }
	((((Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(Re(Z)×Re(Z)×Re(Z)))×i)+(((Im(C))+(-1×Im(Z)×Im(Z)×Im(Z))+(3×Im(Z)×Re(Z)×Re(Z)))×j))

Beautify

	((((Re(C))+(-3×Im(Z)×Im(Z)×Re(Z))+(Re(Z)×Re(Z)×Re(Z)))×i)+(((Im(C))+(-1×Im(Z)×Im(Z)×Im(Z))+(3×Im(Z)×Re(Z)×Re(Z)))×j))
=	{ beautify }
	((Re(C)-3Im(Z)²Re(Z)+Re(Z)³)i+(Im(C)-1Im(Z)³+3Im(Z)Re(Z)²)j)

(top)

Symbolic Algebra

Examples

(o+p-q)2 → (o2+2op+p2-2oq-2pq+q2)

Parse

Sum of products

Flatten

Scalar multiple

Sort

Fold constants

Collect

Simplify

Beautify

let f(z,c)=z2+c in f(Z+z,C+c)-f(Z,C) → (c+2Zz+z2)

Parse

Sum of products

Flatten

Scalar multiple

Sort

Fold constants

Collect

Simplify

Beautify

let z=a1c+a2c2+a3c3 in c+2Zz+z2 → ((1+2Za1)c+(a12+2Za2)c2+(2a1a2+2Za3)c3+O(c4))

Parse

Sum of products

Flatten

Scalar multiple

Sort

Fold constants

Collect

Group

Collect

Small

Simplify

Prune

Beautify

Z3+C → ((Re(C)-3Im(Z)2Re(Z)+Re(Z)3)i+(Im(C)-1Im(Z)3+3Im(Z)Re(Z)2)j)

Parse

Complex

Sum of products

Flatten

Scalar multiple

Sort

Imaginary

Sort

Fold constants

Collect

Group

Collect

Small

Simplify

Beautify

(o+p-q)² → (o²+2op+p²-2oq-2pq+q²)

let f(z,c)=z²+c in f(Z+z,C+c)-f(Z,C) → (c+2Zz+z²)

let z=a₁c+a₂c²+a₃c³ in c+2Zz+z² → ((1+2Za₁)c+(a₁²+2Za₂)c²+(2a₁a₂+2Za₃)c³+O(c⁴))

Z³+C → ((Re(C)-3Im(Z)²Re(Z)+Re(Z)³)i+(Im(C)-1Im(Z)³+3Im(Z)Re(Z)²)j)