Answer
$x(x+y)(x-y)$
Work Step by Step
Since $x$ is common to both the terms of the equation, we take it out as a common factor:
$x^{3}-xy^{2}=x(x^{2}-y^{2})$
We simplify the expression further using the rule $a^{2}-b^{2}=(a+b)(a-b)$:
$x(x^{2}-y^{2})=x(x+y)(x-y)$
