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3\left(3xy-4x^{2}y+6y^{2}\right)
Factor out 3.
y\left(3x-4x^{2}+6y\right)
Consider 3xy-4x^{2}y+6y^{2}. Factor out y.
3y\left(3x-4x^{2}+6y\right)
Rewrite the complete factored expression.