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