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3\left(2a^{6}-a^{3}\right)
Factor out 3.
a^{3}\left(2a^{3}-1\right)
Consider 2a^{6}-a^{3}. Factor out a^{3}.
3a^{3}\left(2a^{3}-1\right)
Rewrite the complete factored expression. Polynomial 2a^{3}-1 is not factored since it does not have any rational roots.