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3\left(x^{2}y-4x^{2}y-6xy\right)
Factor out 3.
xy\left(x-4x-6\right)
Consider x^{2}y-4x^{2}y-6xy. Factor out xy.
-3x-6
Consider x-4x-6. Multiply and combine like terms.
3\left(-x-2\right)
Consider -3x-6. Factor out 3.
9xy\left(-x-2\right)
Rewrite the complete factored expression.