Evaluate
x\left(x^{2}-3x+3\right)
Expand
x^{3}-3x^{2}+3x
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x^{3}-3x^{2}+3x-1+1
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^{3}-3x^{2}+3x
Add -1 and 1 to get 0.
x^{3}-3x^{2}+3x-1+1
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^{3}-3x^{2}+3x
Add -1 and 1 to get 0.
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