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