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11\left(x^{3}+24x^{2}+192x+512\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+8\right)^{3}.
11x^{3}+264x^{2}+2112x+5632
Use the distributive property to multiply 11 by x^{3}+24x^{2}+192x+512.
11\left(x^{3}+24x^{2}+192x+512\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+8\right)^{3}.
11x^{3}+264x^{2}+2112x+5632
Use the distributive property to multiply 11 by x^{3}+24x^{2}+192x+512.