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y=6x\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}.
y=6x^{4}+144x^{3}+1152x^{2}+3072x
Use the distributive property to multiply 6x by x^{3}+24x^{2}+192x+512.