Factor
2\left(a-4\right)\left(a^{2}+7\right)
Evaluate
2\left(a-4\right)\left(a^{2}+7\right)
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2\left(a^{3}-4a^{2}+7a-28\right)
Factor out 2.
a^{2}\left(a-4\right)+7\left(a-4\right)
Consider a^{3}-4a^{2}+7a-28. Do the grouping a^{3}-4a^{2}+7a-28=\left(a^{3}-4a^{2}\right)+\left(7a-28\right), and factor out a^{2} in the first and 7 in the second group.
\left(a-4\right)\left(a^{2}+7\right)
Factor out common term a-4 by using distributive property.
2\left(a-4\right)\left(a^{2}+7\right)
Rewrite the complete factored expression. Polynomial a^{2}+7 is not factored since it does not have any rational roots.
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