Factor
\left(5w-3\right)\left(2w^{2}-1\right)
Evaluate
\left(5w-3\right)\left(2w^{2}-1\right)
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2w^{2}\left(5w-3\right)-\left(5w-3\right)
Do the grouping 10w^{3}-6w^{2}-5w+3=\left(10w^{3}-6w^{2}\right)+\left(-5w+3\right), and factor out 2w^{2} in the first and -1 in the second group.
\left(5w-3\right)\left(2w^{2}-1\right)
Factor out common term 5w-3 by using distributive property. Polynomial 2w^{2}-1 is not factored since it does not have any rational roots.
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