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3a^{2}\left(3a-b\right)-b^{2}\left(3a-b\right)
Do the grouping 9a^{3}-3a^{2}b-3ab^{2}+b^{3}=\left(9a^{3}-3a^{2}b\right)+\left(-3ab^{2}+b^{3}\right), and factor out 3a^{2} in the first and -b^{2} in the second group.
\left(3a-b\right)\left(3a^{2}-b^{2}\right)
Factor out common term 3a-b by using distributive property.