Calculus Examples

$(x^{2} - 9)$

Step 1

Remove parentheses.

$x^{2} - 9$

Step 2

Rewrite $9$ as $3^{2}$ .

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

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x$ and $b = 3$ .

$(x + 3) (x - 3)$