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x^{3}-8
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x^{3}-6x^{2}+12x-8+3x\left(2x-4\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-2\right)^{3}.
x^{3}-6x^{2}+12x-8+6x^{2}-12x
Use the distributive property to multiply 3x by 2x-4.
x^{3}+12x-8-12x
Combine -6x^{2} and 6x^{2} to get 0.
x^{3}-8
Combine 12x and -12x to get 0.
x^{3}-6x^{2}+12x-8+3x\left(2x-4\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-2\right)^{3}.
x^{3}-6x^{2}+12x-8+6x^{2}-12x
Use the distributive property to multiply 3x by 2x-4.
x^{3}+12x-8-12x
Combine -6x^{2} and 6x^{2} to get 0.
x^{3}-8
Combine 12x and -12x to get 0.
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