Factor 2y^2-242

$2 y^{2} - 242$

Step 1

Factor $2$ out of $2 y^{2} - 242$ .

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

$2 (y^{2}) - 242$

Factor $2$ out of $- 242$ .

$2 y^{2} + 2 \cdot - 121$

Factor $2$ out of $2 y^{2} + 2 \cdot - 121$ .

$2 (y^{2} - 121)$

Step 2

Rewrite $121$ as $11^{2}$ .

$2 (y^{2} - 11^{2})$

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 $a = y$ and $b = 11$ .

$2 ((y + 11) (y - 11))$

Remove unnecessary parentheses.

$2 (y + 11) (y - 11)$