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