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