Factor 25xy^2-36x

$25 x y^{2} - 36 x$

Step 1

Factor $x$ out of $25 x y^{2} - 36 x$ .

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

$x (25 y^{2}) - 36 x$

Factor $x$ out of $- 36 x$ .

$x (25 y^{2}) + x \cdot - 36$

Factor $x$ out of $x (25 y^{2}) + x \cdot - 36$ .

$x (25 y^{2} - 36)$

Step 2

Rewrite $25 y^{2}$ as ${(5 y)}^{2}$ .

$x ({(5 y)}^{2} - 36)$

Step 3

Rewrite $36$ as $6^{2}$ .

$x ({(5 y)}^{2} - 6^{2})$

Step 4

Factor.

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 y$ and $b = 6$ .

$x ((5 y + 6) (5 y - 6))$

Remove unnecessary parentheses.

$x (5 y + 6) (5 y - 6)$