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