Evaluate
\frac{\left(40x+3\right)^{3}}{64}
Expand
1000x^{3}+225x^{2}+\frac{135x}{8}+\frac{27}{64}
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1000x^{3}+225x^{2}+\frac{135}{8}x+\frac{27}{64}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(10x+\frac{3}{4}\right)^{3}.
1000x^{3}+225x^{2}+\frac{135}{8}x+\frac{27}{64}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(10x+\frac{3}{4}\right)^{3}.
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