Question

x(x²-y)-x²(x+y)+y(x²-x)

Answer 1

\(x\left(x^2-y\right)-x^2\left(x+y\right)+y\left(x^2-x\right)\)

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

\(=-2xy\)

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Answer 2

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

Answer 3

\(x\left(x^2-y\right)-x^2\left(x+y\right)+y\left(x^2-x\right)\)

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

\(=-2xy\)