# Factorization Formula

Factorization, sometimes also known as factoring consists of writing a number or another mathematical object as a product of several factors. Usually, factors are smaller or simpler objects of the same kind.

**Algebraic Identities:** An algebraic identity is an algebraic equation that is true for all values of the variable occurring in it.

Some algebraic identities are given below

- (x + y)
^{2}= x^{2}+ 2xy + y^{2} - (x – y)
^{2}= x^{2}– 2xy + y^{2} - x
^{2}– y^{2}= (x + y)(x – y) - (x + a)(x + b)= x
^{2}+ (a + b)x + ab - (x + y + z)
^{2}= x^{2}+ y^{2}+ z^{2}+ 2xy + 2yz + 2zx - (x + y)
^{3}= x^{3}+ y^{3}+ 3xy(x + y) - (x – y)
^{3}= x^{3}– y^{3}– 3xy(x – y) - x
^{3}+ y^{3}+ z^{3}– 3xyz = (x + y + z)(x^{2}+ y^{2}+ z^{2}– xy – yz – zx)

If x + y + z = 0, then x^{3}+ y^{3}+ z^{3}= 3xyz