Trigonometry Examples

$729 + x^{3}$

Step 1

Rewrite $729$ as $9^{3}$ .

$9^{3} + x^{3}$

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 $a = 9$ and $b = x$ .

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

Step 3

Raise $9$ to the power of $2$ .

$(9 + x) (81 - 9 x + x^{2})$