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