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