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\left(x^{2}+3x-x-3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x-1 by each term of x+3.
\left(x^{2}+2x-3\right)\left(x-4\right)
Combine 3x and -x to get 2x.
x^{3}-4x^{2}+2x^{2}-8x-3x+12
Apply the distributive property by multiplying each term of x^{2}+2x-3 by each term of x-4.
x^{3}-2x^{2}-8x-3x+12
Combine -4x^{2} and 2x^{2} to get -2x^{2}.
x^{3}-2x^{2}-11x+12
Combine -8x and -3x to get -11x.
\left(x^{2}+3x-x-3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x-1 by each term of x+3.
\left(x^{2}+2x-3\right)\left(x-4\right)
Combine 3x and -x to get 2x.
x^{3}-4x^{2}+2x^{2}-8x-3x+12
Apply the distributive property by multiplying each term of x^{2}+2x-3 by each term of x-4.
x^{3}-2x^{2}-8x-3x+12
Combine -4x^{2} and 2x^{2} to get -2x^{2}.
x^{3}-2x^{2}-11x+12
Combine -8x and -3x to get -11x.