Algebra Examples

$v^{3} + u^{3}$

Step 1

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

$(v + u) (v^{2} - v u + u^{2})$