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)