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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

a^2 - b^2 = (a + b)(a - b)

Sum of Cubes

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Difference of Cubes

a^3 - b^3 = (a - b)(a^2 + ab + b^2)