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