Algebra Examples

$m^{3} - n^{3}$

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 $a = m$ and $b = n$ .

$(m - n) (m^{2} + m n + n^{2})$