Evaluate
\frac{\left(4s+9\right)^{2}}{16}
Expand
s^{2}+\frac{9s}{2}+\frac{81}{16}
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s^{2}+\frac{9}{2}s+\frac{81}{16}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(s+\frac{9}{4}\right)^{2}.
s^{2}+\frac{9}{2}s+\frac{81}{16}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(s+\frac{9}{4}\right)^{2}.
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