Algebra Examples

$27 - x^{3}$

Step 1

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

$3^{3} - x^{3}$

Step 2

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 $a = 3$ and $b = x$ .

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

Step 3

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

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