Evaluate
\frac{\left(a-4b\right)^{2}}{36}
Expand
-\frac{2ab}{9}+\frac{4b^{2}}{9}+\frac{a^{2}}{36}
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\frac{1}{36}a^{2}-\frac{2}{9}ab+\frac{4}{9}b^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(\frac{1}{6}a-\frac{2}{3}b\right)^{2}.
\frac{1}{36}a^{2}-\frac{2}{9}ab+\frac{4}{9}b^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(\frac{1}{6}a-\frac{2}{3}b\right)^{2}.
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