Algebra Examples

$8 - x^{3}$

Step 1

Rewrite $8$ as $2^{3}$ .

$2^{3} - x^{3}$

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 $a = 2$ and $b = x$ .

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

Step 3

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

$(2 - x) (4 + 2 x + x^{2})$