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