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x^{3}\left(x^{2}-2x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{5}-2x^{4}+x^{3}
Use the distributive property to multiply x^{3} by x^{2}-2x+1.
x^{3}\left(x^{2}-2x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{5}-2x^{4}+x^{3}
Use the distributive property to multiply x^{3} by x^{2}-2x+1.