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4\left(x^{3}-6x^{2}+12x-8\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}.
4x^{3}-24x^{2}+48x-32
Use the distributive property to multiply 4 by x^{3}-6x^{2}+12x-8.
4\left(x^{3}-6x^{2}+12x-8\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}.
4x^{3}-24x^{2}+48x-32
Use the distributive property to multiply 4 by x^{3}-6x^{2}+12x-8.