Factor 2xy^2-50x

$2 x y^{2} - 50 x$

Step 1

Factor $2 x$ out of $2 x y^{2} - 50 x$ .

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

$2 x (y^{2}) - 50 x$

Factor $2 x$ out of $- 50 x$ .

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

Factor $2 x$ out of $2 x (y^{2}) + 2 x (- 25)$ .

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

Step 2

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

$2 x (y^{2} - 5^{2})$

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 $a = y$ and $b = 5$ .

$2 x ((y + 5) (y - 5))$

Remove unnecessary parentheses.

$2 x (y + 5) (y - 5)$