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\left(x^{2}-x+2x-2\right)\left(x-3\right)
Apply the distributive property by multiplying each term of x+2 by each term of x-1.
\left(x^{2}+x-2\right)\left(x-3\right)
Combine -x and 2x to get x.
x^{3}-3x^{2}+x^{2}-3x-2x+6
Apply the distributive property by multiplying each term of x^{2}+x-2 by each term of x-3.
x^{3}-2x^{2}-3x-2x+6
Combine -3x^{2} and x^{2} to get -2x^{2}.
x^{3}-2x^{2}-5x+6
Combine -3x and -2x to get -5x.
\left(x^{2}-x+2x-2\right)\left(x-3\right)
Apply the distributive property by multiplying each term of x+2 by each term of x-1.
\left(x^{2}+x-2\right)\left(x-3\right)
Combine -x and 2x to get x.
x^{3}-3x^{2}+x^{2}-3x-2x+6
Apply the distributive property by multiplying each term of x^{2}+x-2 by each term of x-3.
x^{3}-2x^{2}-3x-2x+6
Combine -3x^{2} and x^{2} to get -2x^{2}.
x^{3}-2x^{2}-5x+6
Combine -3x and -2x to get -5x.