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4\left(x^{2}y^{2}-2x^{2}y^{3}\right)
Factor out 4.
x^{2}y^{2}\left(1-2y\right)
Consider x^{2}y^{2}-2x^{2}y^{3}. Factor out x^{2}y^{2}.
4x^{2}y^{2}\left(-2y+1\right)
Rewrite the complete factored expression.