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-\frac{5}{6}a^{3}+\frac{4}{3}-\frac{7}{6}a
Combine -\frac{5}{2}a and \frac{4}{3}a to get -\frac{7}{6}a.
\frac{-5a^{3}+8-15a+8a}{6}
Factor out \frac{1}{6}. Polynomial -5a^{3}-7a+8 is not factored since it does not have any rational roots.