Pre-Algebra Examples

$27 + y^{3}$

Step 1

Rewrite $27$ as $3^{3}$ .

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

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 $a = 3$ and $b = y$ .

$(3 + y) (3^{2} - 3 y + y^{2})$

Step 3

Raise $3$ to the power of $2$ .

$(3 + y) (9 - 3 y + y^{2})$