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15\left(r^{6}-r^{3}+3r^{2}\right)
Factor out 15.
r^{2}\left(r^{4}-r+3\right)
Consider r^{6}-r^{3}+3r^{2}. Factor out r^{2}.
15r^{2}\left(r^{4}-r+3\right)
Rewrite the complete factored expression. Polynomial r^{4}-r+3 is not factored since it does not have any rational roots.