Factor 2x^2-338

$2 x^{2} - 338$

Step 1

Factor $2$ out of $2 x^{2} - 338$ .

Factor $2$ out of $2 x^{2}$ .

$2 (x^{2}) - 338$

Factor $2$ out of $- 338$ .

$2 x^{2} + 2 \cdot - 169$

Factor $2$ out of $2 x^{2} + 2 \cdot - 169$ .

$2 (x^{2} - 169)$

Step 2

Rewrite $169$ as $13^{2}$ .

$2 (x^{2} - 13^{2})$

Step 3

Factor.

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 $b = 13$ .

$2 ((x + 13) (x - 13))$

Remove unnecessary parentheses.

$2 (x + 13) (x - 13)$