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5\left(a^{6}+4a^{4}-8a^{3}\right)
Factor out 5.
a^{3}\left(a^{3}+4a-8\right)
Consider a^{6}+4a^{4}-8a^{3}. Factor out a^{3}.
5a^{3}\left(a^{3}+4a-8\right)
Rewrite the complete factored expression. Polynomial a^{3}+4a-8 is not factored since it does not have any rational roots.