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4r^{2}\left(7r-8\right)+7\left(7r-8\right)
Do the grouping 28r^{3}-32r^{2}+49r-56=\left(28r^{3}-32r^{2}\right)+\left(49r-56\right), and factor out 4r^{2} in the first and 7 in the second group.
\left(7r-8\right)\left(4r^{2}+7\right)
Factor out common term 7r-8 by using distributive property. Polynomial 4r^{2}+7 is not factored since it does not have any rational roots.