Factor 8x^2-8y^2

$8 x^{2} - 8 y^{2}$

Step 1

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

Factor $8$ out of $8 x^{2}$ .

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

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

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

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

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

Step 2

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 $b = y$ .

$8 ((x + y) (x - y))$

Remove unnecessary parentheses.

$8 (x + y) (x - y)$