Evaluate
\frac{\left(2a+1\right)^{2}}{4}
Expand
a^{2}+a+\frac{1}{4}
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\frac{1}{4}+a+a^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(\frac{1}{2}+a\right)^{2}.
\frac{1}{4}+a+a^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(\frac{1}{2}+a\right)^{2}.
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