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y=-2x\left(x^{2}-2x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
y=-2x^{3}+4x^{2}-2x
Use the distributive property to multiply -2x by x^{2}-2x+1.