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9\left(3x^{2}y^{3}-2xy^{2}\right)
Factor out 9.
xy^{2}\left(3xy-2\right)
Consider 3x^{2}y^{3}-2xy^{2}. Factor out xy^{2}.
9xy^{2}\left(3xy-2\right)
Rewrite the complete factored expression.