Answer
$-\displaystyle \frac{1}{x}$
Work Step by Step
Simplifying Rational Expressions
1. Factor the numerator and the denominator completely.
2. Divide both the numerator and the denominator by any common factors.
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Numerator $: $
$x^{2}y-x^{2}=x^{2}(y-1)$
Denominator:
$x^{3}-x^{3}y=-x^{3}(-1+y)=-x^{3}(y-1)$
Expression = $\displaystyle \frac{x^{2}(y-1)}{-x^{3}(y-1)}$
... divide both with the common factor: $x^{2}(y-1)$
Expression = $\displaystyle \frac{1}{-x}$ = $-\displaystyle \frac{1}{x}$
