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x^{3}-13x+12
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x^{3}-13x+12
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\left(x^{2}+4x-x-4\right)\left(x-3\right)
Apply the distributive property by multiplying each term of x-1 by each term of x+4.
\left(x^{2}+3x-4\right)\left(x-3\right)
Combine 4x and -x to get 3x.
x^{3}-3x^{2}+3x^{2}-9x-4x+12
Apply the distributive property by multiplying each term of x^{2}+3x-4 by each term of x-3.
x^{3}-9x-4x+12
Combine -3x^{2} and 3x^{2} to get 0.
x^{3}-13x+12
Combine -9x and -4x to get -13x.
\left(x^{2}+4x-x-4\right)\left(x-3\right)
Apply the distributive property by multiplying each term of x-1 by each term of x+4.
\left(x^{2}+3x-4\right)\left(x-3\right)
Combine 4x and -x to get 3x.
x^{3}-3x^{2}+3x^{2}-9x-4x+12
Apply the distributive property by multiplying each term of x^{2}+3x-4 by each term of x-3.
x^{3}-9x-4x+12
Combine -3x^{2} and 3x^{2} to get 0.
x^{3}-13x+12
Combine -9x and -4x to get -13x.
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