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