Solve for f
f=x\left(2-x\right)^{2}
x\neq 0
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f=x\left(x-2\right)^{2}
Multiply both sides of the equation by x.
f=x\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}.
f=x^{3}-4x^{2}+4x
Use the distributive property to multiply x by x^{2}-4x+4.
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