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3\left(2a^{2}b^{3}-a^{3}b^{2}\right)
Factor out 3.
a^{2}b^{2}\left(2b-a\right)
Consider 2a^{2}b^{3}-a^{3}b^{2}. Factor out a^{2}b^{2}.
3a^{2}b^{2}\left(-a+2b\right)
Rewrite the complete factored expression.