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\left(x^{2}-x+x-1\right)\left(x-8\right)
Apply the distributive property by multiplying each term of x+1 by each term of x-1.
\left(x^{2}-1\right)\left(x-8\right)
Combine -x and x to get 0.
x^{3}-8x^{2}-x+8
Apply the distributive property by multiplying each term of x^{2}-1 by each term of x-8.
\left(x^{2}-x+x-1\right)\left(x-8\right)
Apply the distributive property by multiplying each term of x+1 by each term of x-1.
\left(x^{2}-1\right)\left(x-8\right)
Combine -x and x to get 0.
x^{3}-8x^{2}-x+8
Apply the distributive property by multiplying each term of x^{2}-1 by each term of x-8.