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7\left(3x^{2}y^{3}-2x^{3}y^{2}\right)
Factor out 7.
x^{2}y^{2}\left(3y-2x\right)
Consider 3x^{2}y^{3}-2x^{3}y^{2}. Factor out x^{2}y^{2}.
7x^{2}y^{2}\left(-2x+3y\right)
Rewrite the complete factored expression.