Evaluate
x\left(x-1\right)^{3}
Differentiate w.r.t. x
\left(4x-1\right)\left(x-1\right)^{2}
Graph
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x\left(x-1\right)^{3}
Apply rule a^{\log_{a}\left(b\right)}=b, where a=e and b=x.
x\left(x^{3}-3x^{2}+3x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-1\right)^{3}.
x^{4}-3x^{3}+3x^{2}-x
Use the distributive property to multiply x by x^{3}-3x^{2}+3x-1.
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