Factor x-xy^2

$x - x y^{2}$

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

Raise $x$ to the power of $1$ .

$x^{1} - x y^{2}$

Factor $x$ out of $x^{1}$ .

$x \cdot 1 - x y^{2}$

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

$x \cdot 1 + x (- 1 y^{2})$

Factor $x$ out of $x \cdot 1 + x (- 1 y^{2})$ .

$x (1 - 1 y^{2})$

Rewrite $1$ as $1^{2}$ .

$x (1^{2} - 1 y^{2})$

Factor.

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 1$ and $b = y$ .

$x ((1 + y) (1 - y))$

Remove unnecessary parentheses.

$x (1 + y) (1 - y)$