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\left(x^{5}+x^{3}-x^{2}-1\right)\left(x+2\right)
Use the distributive property to multiply x^{3}-1 by x^{2}+1.
x^{6}+2x^{5}+x^{4}+x^{3}-2x^{2}-x-2
Use the distributive property to multiply x^{5}+x^{3}-x^{2}-1 by x+2 and combine like terms.
\left(x^{5}+x^{3}-x^{2}-1\right)\left(x+2\right)
Use the distributive property to multiply x^{3}-1 by x^{2}+1.
x^{6}+2x^{5}+x^{4}+x^{3}-2x^{2}-x-2
Use the distributive property to multiply x^{5}+x^{3}-x^{2}-1 by x+2 and combine like terms.