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5\left(a^{10}-4a^{8}+5a^{6}\right)
Factor out 5.
a^{6}\left(a^{4}-4a^{2}+5\right)
Consider a^{10}-4a^{8}+5a^{6}. Factor out a^{6}.
5a^{6}\left(a^{4}-4a^{2}+5\right)
Rewrite the complete factored expression. Polynomial a^{4}-4a^{2}+5 is not factored since it does not have any rational roots.