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a^{5}-a^{2}\left(-2\right)
Multiply a and a to get a^{2}.
a^{5}+2a^{2}
Multiply -1 and -2 to get 2.
a\left(a^{4}+2a\right)
Factor out a.
a\left(a^{3}+2\right)
Consider a^{4}+2a. Factor out a.
aa\left(a^{3}+2\right)
Rewrite the complete factored expression. Polynomial a^{3}+2 is not factored since it does not have any rational roots.