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