Trigonometry Examples

$\frac{x^{2} - 9}{2 x + 4}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

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

$\frac{x^{2} - 3^{2}}{2 x + 4}$

Step 1.2

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 $b = 3$ .

$\frac{(x + 3) (x - 3)}{2 x + 4}$

Step 2

Factor $2$ out of $2 x + 4$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $2 x$ .

$\frac{(x + 3) (x - 3)}{2 (x) + 4}$

Step 2.2

Factor $2$ out of $4$ .

$\frac{(x + 3) (x - 3)}{2 x + 2 \cdot 2}$

Step 2.3

Factor $2$ out of $2 x + 2 \cdot 2$ .

$\frac{(x + 3) (x - 3)}{2 (x + 2)}$