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