Factor
\left(2u-3\right)\left(u^{2}-7\right)
Evaluate
\left(2u-3\right)\left(u^{2}-7\right)
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u^{2}\left(2u-3\right)-7\left(2u-3\right)
Do the grouping 2u^{3}-3u^{2}-14u+21=\left(2u^{3}-3u^{2}\right)+\left(-14u+21\right), and factor out u^{2} in the first and -7 in the second group.
\left(2u-3\right)\left(u^{2}-7\right)
Factor out common term 2u-3 by using distributive property. Polynomial u^{2}-7 is not factored since it does not have any rational roots.
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