Factor
2b\left(a-2\right)\left(a^{2}+16\right)
Evaluate
2b\left(a-2\right)\left(a^{2}+16\right)
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2\left(a^{3}b-2a^{2}b+16ab-32b\right)
Factor out 2.
b\left(a^{3}-2a^{2}+16a-32\right)
Consider a^{3}b-2a^{2}b+16ab-32b. Factor out b.
a^{2}\left(a-2\right)+16\left(a-2\right)
Consider a^{3}-2a^{2}+16a-32. Do the grouping a^{3}-2a^{2}+16a-32=\left(a^{3}-2a^{2}\right)+\left(16a-32\right), and factor out a^{2} in the first and 16 in the second group.
\left(a-2\right)\left(a^{2}+16\right)
Factor out common term a-2 by using distributive property.
2b\left(a-2\right)\left(a^{2}+16\right)
Rewrite the complete factored expression. Polynomial a^{2}+16 is not factored since it does not have any rational roots.
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