Algebra Examples

$125 - x^{3}$

Step 1

Rewrite $125$ as $5^{3}$ .

$5^{3} - x^{3}$

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 $a = 5$ and $b = x$ .

$(5 - x) (5^{2} + 5 x + x^{2})$

Step 3

Raise $5$ to the power of $2$ .

$(5 - x) (25 + 5 x + x^{2})$