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\frac{16b^{2}+81a^{2}-72ab}{36}
Factor out \frac{1}{36}.
\left(-9a+4b\right)^{2}
Consider 16b^{2}+81a^{2}-72ab. Use the perfect square formula, p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, where p=-9a and q=4b.
\frac{\left(-9a+4b\right)^{2}}{36}
Rewrite the complete factored expression.