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\left(x^{2}+16x+64\right)\left(2x+3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+8\right)^{2}.
2x^{3}+35x^{2}+176x+192
Use the distributive property to multiply x^{2}+16x+64 by 2x+3 and combine like terms.
\left(x^{2}+16x+64\right)\left(2x+3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+8\right)^{2}.
2x^{3}+35x^{2}+176x+192
Use the distributive property to multiply x^{2}+16x+64 by 2x+3 and combine like terms.