Pre-Algebra Examples

$r^{3} - g^{3}$

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 $a = r$ and $b = g$ .

$(r - g) (r^{2} + r g + g^{2})$