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6\left(3x^{3}y^{2}-2x^{2}y^{3}\right)
Factor out 6.
x^{2}y^{2}\left(3x-2y\right)
Consider 3x^{3}y^{2}-2x^{2}y^{3}. Factor out x^{2}y^{2}.
6x^{2}y^{2}\left(3x-2y\right)
Rewrite the complete factored expression.