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8\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}.
8x^{3}-48x^{2}+96x-64
Use the distributive property to multiply 8 by x^{3}-6x^{2}+12x-8.
8\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}.
8x^{3}-48x^{2}+96x-64
Use the distributive property to multiply 8 by x^{3}-6x^{2}+12x-8.