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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.
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.