\(xy\left(x+y\right)-y\left(x+y\right)^2+y^2\left(x-y\right)\)
\(=\left(x+y\right)\left(xy-xy-y^2\right)+y^2\left(x-y\right)\)
\(=-y^2\left(x+y\right)+y^2\left(x-y\right)\)
\(=y^2\left(-x-y+x-y\right)\)
\(=-2y^3\)
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