Factor 32-8y^2

$32 - 8 y^{2}$

Step 1

Factor $8$ out of $32 - 8 y^{2}$ .

Factor $8$ out of $32$ .

$8 (4) - 8 y^{2}$

Factor $8$ out of $- 8 y^{2}$ .

$8 (4) + 8 (- y^{2})$

Factor $8$ out of $8 (4) + 8 (- y^{2})$ .

$8 (4 - y^{2})$

Step 2

Rewrite $4$ as $2^{2}$ .

$8 (2^{2} - y^{2})$

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 $a = 2$ and $b = y$ .

$8 ((2 + y) (2 - y))$

Remove unnecessary parentheses.

$8 (2 + y) (2 - y)$