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\left(x^{3}-x^{2}+x-1\right)\left(x+1\right)
Use the distributive property to multiply x^{2}+1 by x-1.
x^{4}-1
Use the distributive property to multiply x^{3}-x^{2}+x-1 by x+1 and combine like terms.
\left(x^{3}-x^{2}+x-1\right)\left(x+1\right)
Use the distributive property to multiply x^{2}+1 by x-1.
x^{4}-1
Use the distributive property to multiply x^{3}-x^{2}+x-1 by x+1 and combine like terms.