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