Factor
\left(4u-3\right)\left(u^{2}+3\right)
Evaluate
\left(4u-3\right)\left(u^{2}+3\right)
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u^{2}\left(4u-3\right)+3\left(4u-3\right)
Do the grouping 4u^{3}-3u^{2}+12u-9=\left(4u^{3}-3u^{2}\right)+\left(12u-9\right), and factor out u^{2} in the first and 3 in the second group.
\left(4u-3\right)\left(u^{2}+3\right)
Factor out common term 4u-3 by using distributive property. Polynomial u^{2}+3 is not factored since it does not have any rational roots.
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