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x^{2}\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^{5}-3x^{4}+3x^{3}-x^{2}
Use the distributive property to multiply x^{2} by x^{3}-3x^{2}+3x-1.
x^{2}\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^{5}-3x^{4}+3x^{3}-x^{2}
Use the distributive property to multiply x^{2} by x^{3}-3x^{2}+3x-1.