Factor
\left(a^{2}+1\right)\left(a^{3}-2\right)
Evaluate
\left(a^{2}+1\right)\left(a^{3}-2\right)
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a^{2}\left(a^{3}-2\right)+a^{3}-2
Do the grouping a^{5}-2a^{2}+a^{3}-2=\left(a^{5}-2a^{2}\right)+\left(a^{3}-2\right), and factor out a^{2} in a^{5}-2a^{2}.
\left(a^{3}-2\right)\left(a^{2}+1\right)
Factor out common term a^{3}-2 by using distributive property. The following polynomials are not factored since they do not have any rational roots: a^{3}-2,a^{2}+1.
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