Algebra Examples

$(x^{3} + y^{3})$

Step 1

Remove parentheses.

$x^{3} + y^{3}$

Step 2

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 $a = x$ and $b = y$ .

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