Factor 2m^2-50

$2 m^{2} - 50$

Step 1

Factor $2$ out of $2 m^{2} - 50$ .

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

$2 (m^{2}) - 50$

Factor $2$ out of $- 50$ .

$2 m^{2} + 2 \cdot - 25$

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

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

Step 2

Rewrite $25$ as $5^{2}$ .

$2 (m^{2} - 5^{2})$

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 $a = m$ and $b = 5$ .

$2 ((m + 5) (m - 5))$

Remove unnecessary parentheses.

$2 (m + 5) (m - 5)$