Evaluate
\frac{\left(2x+3\right)^{3}}{8}
Expand
x^{3}+\frac{9x^{2}}{2}+\frac{27x}{4}+\frac{27}{8}
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x^{3}+\frac{9}{2}x^{2}+\frac{27}{4}x+\frac{27}{8}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+\frac{3}{2}\right)^{3}.
x^{3}+\frac{9}{2}x^{2}+\frac{27}{4}x+\frac{27}{8}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+\frac{3}{2}\right)^{3}.
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