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\left(x^{2}-4x-2x+8\right)\left(x+6\right)
Apply the distributive property by multiplying each term of x-2 by each term of x-4.
\left(x^{2}-6x+8\right)\left(x+6\right)
Combine -4x and -2x to get -6x.
x^{3}+6x^{2}-6x^{2}-36x+8x+48
Apply the distributive property by multiplying each term of x^{2}-6x+8 by each term of x+6.
x^{3}-36x+8x+48
Combine 6x^{2} and -6x^{2} to get 0.
x^{3}-28x+48
Combine -36x and 8x to get -28x.
\left(x^{2}-4x-2x+8\right)\left(x+6\right)
Apply the distributive property by multiplying each term of x-2 by each term of x-4.
\left(x^{2}-6x+8\right)\left(x+6\right)
Combine -4x and -2x to get -6x.
x^{3}+6x^{2}-6x^{2}-36x+8x+48
Apply the distributive property by multiplying each term of x^{2}-6x+8 by each term of x+6.
x^{3}-36x+8x+48
Combine 6x^{2} and -6x^{2} to get 0.
x^{3}-28x+48
Combine -36x and 8x to get -28x.