Algebra Examples

$x^{3} - a^{3}$

Step 1

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 $b = a$ .

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