Factor
\frac{\left(a+1\right)^{2}}{2}
Evaluate
\frac{\left(a+1\right)^{2}}{2}
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\frac{a^{2}+2a+1}{2}
Factor out \frac{1}{2}.
\left(a+1\right)^{2}
Consider a^{2}+2a+1. Use the perfect square formula, p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, where p=a and q=1.
\frac{\left(a+1\right)^{2}}{2}
Rewrite the complete factored expression.
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