Factor
\left(a-3\right)\left(a^{2}-7\right)
Evaluate
\left(a-3\right)\left(a^{2}-7\right)
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a^{2}\left(a-3\right)-7\left(a-3\right)
Do the grouping a^{3}-3a^{2}-7a+21=\left(a^{3}-3a^{2}\right)+\left(-7a+21\right), and factor out a^{2} in the first and -7 in the second group.
\left(a-3\right)\left(a^{2}-7\right)
Factor out common term a-3 by using distributive property. Polynomial a^{2}-7 is not factored since it does not have any rational roots.
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