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7\left(x^{2}y-2x^{3}y^{2}\right)
Factor out 7.
x^{2}y\left(1-2xy\right)
Consider x^{2}y-2x^{3}y^{2}. Factor out x^{2}y.
7x^{2}y\left(1-2xy\right)
Rewrite the complete factored expression.