Solve for y
y=\left(x-1\right)\left(x-2\right)^{2}
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y=\left(x-1\right)\left(x^{2}-4x+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
y=x^{3}-5x^{2}+8x-4
Use the distributive property to multiply x-1 by x^{2}-4x+4 and combine like terms.
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