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x^{3}-13x-12
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x^{3}-13x-12
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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}+4x+3\right)\left(x-4\right)
Combine 3x and x to get 4x.
x^{3}-4x^{2}+4x^{2}-16x+3x-12
Apply the distributive property by multiplying each term of x^{2}+4x+3 by each term of x-4.
x^{3}-16x+3x-12
Combine -4x^{2} and 4x^{2} to get 0.
x^{3}-13x-12
Combine -16x and 3x to get -13x.
\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}+4x+3\right)\left(x-4\right)
Combine 3x and x to get 4x.
x^{3}-4x^{2}+4x^{2}-16x+3x-12
Apply the distributive property by multiplying each term of x^{2}+4x+3 by each term of x-4.
x^{3}-16x+3x-12
Combine -4x^{2} and 4x^{2} to get 0.
x^{3}-13x-12
Combine -16x and 3x to get -13x.
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