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\frac{\left(a^{2}-ab\right)ab}{b-a}
Express \left(a^{2}-ab\right)\times \frac{ab}{b-a} as a single fraction.
\frac{b\left(a-b\right)a^{2}}{-a+b}
Factor the expressions that are not already factored.
\frac{-b\left(-a+b\right)a^{2}}{-a+b}
Extract the negative sign in a-b.
-ba^{2}
Cancel out -a+b in both numerator and denominator.
\frac{\left(a^{2}-ab\right)ab}{b-a}
Express \left(a^{2}-ab\right)\times \frac{ab}{b-a} as a single fraction.
\frac{b\left(a-b\right)a^{2}}{-a+b}
Factor the expressions that are not already factored.
\frac{-b\left(-a+b\right)a^{2}}{-a+b}
Extract the negative sign in a-b.
-ba^{2}
Cancel out -a+b in both numerator and denominator.