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