Factor
\left(a-1\right)\left(a^{2}-8\right)
Evaluate
\left(a-1\right)\left(a^{2}-8\right)
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a^{2}\left(a-1\right)-8\left(a-1\right)
Do the grouping a^{3}-a^{2}-8a+8=\left(a^{3}-a^{2}\right)+\left(-8a+8\right), and factor out a^{2} in the first and -8 in the second group.
\left(a-1\right)\left(a^{2}-8\right)
Factor out common term a-1 by using distributive property. Polynomial a^{2}-8 is not factored since it does not have any rational roots.
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