Evaluate
6\left(2x+1\right)\left(x-8\right)^{2}
Expand
12x^{3}-186x^{2}+672x+384
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6\left(x^{2}-16x+64\right)\left(2x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-8\right)^{2}.
\left(6x^{2}-96x+384\right)\left(2x+1\right)
Use the distributive property to multiply 6 by x^{2}-16x+64.
12x^{3}-186x^{2}+672x+384
Use the distributive property to multiply 6x^{2}-96x+384 by 2x+1 and combine like terms.
6\left(x^{2}-16x+64\right)\left(2x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-8\right)^{2}.
\left(6x^{2}-96x+384\right)\left(2x+1\right)
Use the distributive property to multiply 6 by x^{2}-16x+64.
12x^{3}-186x^{2}+672x+384
Use the distributive property to multiply 6x^{2}-96x+384 by 2x+1 and combine like terms.
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