Difference of Cubes

Formula

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

a - b is 100% a factor of this

Example

Factor: 64x^9 - 27y^3 let

a^3 = 64x^9
b^3 = 27y^3

a = 4x^3
b = 3y
(4x^3 - 3y)(16x^6+12x^3y+9x^2)