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\frac{-8aba^{2}b+a^{3}b^{2}-9ab^{2}a+15a^{2}bb}{6}
Factor out \frac{1}{6}.
a^{2}b^{2}\left(-7a+6\right)
Consider -8a^{3}b^{2}+a^{3}b^{2}-9b^{2}a^{2}+15a^{2}b^{2}. Factor out a^{2}b^{2}.
-7a+6
Consider -8a+a-9+15. Multiply and combine like terms.
\frac{a^{2}b^{2}\left(-7a+6\right)}{6}
Rewrite the complete factored expression.