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