Factor
\left(p-1\right)\left(5p^{2}-9\right)
Evaluate
\left(p-1\right)\left(5p^{2}-9\right)
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5p^{2}\left(p-1\right)-9\left(p-1\right)
Do the grouping 5p^{3}-5p^{2}-9p+9=\left(5p^{3}-5p^{2}\right)+\left(-9p+9\right), and factor out 5p^{2} in the first and -9 in the second group.
\left(p-1\right)\left(5p^{2}-9\right)
Factor out common term p-1 by using distributive property. Polynomial 5p^{2}-9 is not factored since it does not have any rational roots.
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