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