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