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\left(x-2\right)\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^{3}-3x-2
Use the distributive property to multiply x-2 by x^{2}+2x+1 and combine like terms.
\left(x-2\right)\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^{3}-3x-2
Use the distributive property to multiply x-2 by x^{2}+2x+1 and combine like terms.