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2f^{2}\left(3f-4\right)-5\left(3f-4\right)
Do the grouping 6f^{3}-8f^{2}+20-15f=\left(6f^{3}-8f^{2}\right)+\left(20-15f\right), and factor out 2f^{2} in the first and -5 in the second group.
\left(3f-4\right)\left(2f^{2}-5\right)
Factor out common term 3f-4 by using distributive property. Polynomial 2f^{2}-5 is not factored since it does not have any rational roots.