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\frac{36a^{2}b^{2}+12ab+1}{4}
Factor out \frac{1}{4}.
\left(6ab+1\right)^{2}
Consider 36a^{2}b^{2}+12ab+1. Use the perfect square formula, p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, where p=6ab and q=1.
\frac{\left(6ab+1\right)^{2}}{4}
Rewrite the complete factored expression.