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6\left(3a^{4}+5a^{2}\right)
Factor out 6.
a^{2}\left(3a^{2}+5\right)
Consider 3a^{4}+5a^{2}. Factor out a^{2}.
6a^{2}\left(3a^{2}+5\right)
Rewrite the complete factored expression. Polynomial 3a^{2}+5 is not factored since it does not have any rational roots.