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\left(x^{2}-6x+4x-24\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x+4 by each term of x-6.
\left(x^{2}-2x-24\right)\left(x+2\right)
Combine -6x and 4x to get -2x.
x^{3}+2x^{2}-2x^{2}-4x-24x-48
Apply the distributive property by multiplying each term of x^{2}-2x-24 by each term of x+2.
x^{3}-4x-24x-48
Combine 2x^{2} and -2x^{2} to get 0.
x^{3}-28x-48
Combine -4x and -24x to get -28x.
\left(x^{2}-6x+4x-24\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x+4 by each term of x-6.
\left(x^{2}-2x-24\right)\left(x+2\right)
Combine -6x and 4x to get -2x.
x^{3}+2x^{2}-2x^{2}-4x-24x-48
Apply the distributive property by multiplying each term of x^{2}-2x-24 by each term of x+2.
x^{3}-4x-24x-48
Combine 2x^{2} and -2x^{2} to get 0.
x^{3}-28x-48
Combine -4x and -24x to get -28x.