Factor 25x^2-100

$25 x^{2} - 100$

Step 1

Factor $25$ out of $25 x^{2} - 100$ .

Factor $25$ out of $25 x^{2}$ .

$25 (x^{2}) - 100$

Factor $25$ out of $- 100$ .

$25 x^{2} + 25 \cdot - 4$

Factor $25$ out of $25 x^{2} + 25 \cdot - 4$ .

$25 (x^{2} - 4)$

Step 2

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

$25 (x^{2} - 2^{2})$

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 $b = 2$ .

$25 ((x + 2) (x - 2))$

Remove unnecessary parentheses.

$25 (x + 2) (x - 2)$