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3a^{2}-7b^{2}-3a\left(3a^{2}-7b^{2}\right)
Do the grouping 3a^{2}-7b^{2}-9a^{3}+21ab^{2}=\left(3a^{2}-7b^{2}\right)+\left(-9a^{3}+21ab^{2}\right), and factor out -3a in -9a^{3}+21ab^{2}.
\left(3a^{2}-7b^{2}\right)\left(1-3a\right)
Factor out common term 3a^{2}-7b^{2} by using distributive property.