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\frac{3u^{4}-2u^{3}-6u^{2}+6u}{3}
Factor out \frac{1}{3}.
u\left(3u^{3}-2u^{2}-6u+6\right)
Consider 3u^{4}-2u^{3}-6u^{2}+6u. Factor out u.
\frac{u\left(3u^{3}-2u^{2}-6u+6\right)}{3}
Rewrite the complete factored expression. Polynomial 3u^{3}-2u^{2}-6u+6 is not factored since it does not have any rational roots.