Basic Identities in Algebra

Distributive Law

a(b + c) = ab + ac

Commutative Law

a + b = b + a

Associative Law

(a + b) + c = a + (b + c)

Difference of Squares

a2 - b2 = (a + b)(a - b)

Sum of Cubes

a3 + b3 = (a + b)(a2 - ab + b2)

Difference of Cubes

a3 - b3 = (a - b)(a2 + ab + b2)

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