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9\left(6x^{3}y-2x^{2}y^{2}+3xy^{2}\right)
Factor out 9.
xy\left(6x^{2}-2xy+3y\right)
Consider 6x^{3}y-2x^{2}y^{2}+3xy^{2}. Factor out xy.
9xy\left(6x^{2}-2xy+3y\right)
Rewrite the complete factored expression.