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\left(x^{2}-2x-x+2\right)\left(x+5\right)
Apply the distributive property by multiplying each term of x-1 by each term of x-2.
\left(x^{2}-3x+2\right)\left(x+5\right)
Combine -2x and -x to get -3x.
x^{3}+5x^{2}-3x^{2}-15x+2x+10
Apply the distributive property by multiplying each term of x^{2}-3x+2 by each term of x+5.
x^{3}+2x^{2}-15x+2x+10
Combine 5x^{2} and -3x^{2} to get 2x^{2}.
x^{3}+2x^{2}-13x+10
Combine -15x and 2x to get -13x.
\left(x^{2}-2x-x+2\right)\left(x+5\right)
Apply the distributive property by multiplying each term of x-1 by each term of x-2.
\left(x^{2}-3x+2\right)\left(x+5\right)
Combine -2x and -x to get -3x.
x^{3}+5x^{2}-3x^{2}-15x+2x+10
Apply the distributive property by multiplying each term of x^{2}-3x+2 by each term of x+5.
x^{3}+2x^{2}-15x+2x+10
Combine 5x^{2} and -3x^{2} to get 2x^{2}.
x^{3}+2x^{2}-13x+10
Combine -15x and 2x to get -13x.