Algebra Examples

$(x^{3} - y^{3})$

Step 1

Remove parentheses.

$x^{3} - y^{3}$

Step 2

Since both terms are perfect cubes, factor using the difference of cubes formula, $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ where $a = x$ and $b = y$ .

$(x - y) (x^{2} + x y + y^{2})$