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8r^{2}\left(r-8\right)+r-8
Do the grouping 8r^{3}-64r^{2}+r-8=\left(8r^{3}-64r^{2}\right)+\left(r-8\right), and factor out 8r^{2} in 8r^{3}-64r^{2}.
\left(r-8\right)\left(8r^{2}+1\right)
Factor out common term r-8 by using distributive property. Polynomial 8r^{2}+1 is not factored since it does not have any rational roots.