Algebra Examples

$(a^{3} - b^{3})$

Step 1

Remove parentheses.

$a^{3} - b^{3}$

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 $a = a$ and $b = b$ .

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