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\frac{9}{25}x^{2}-\frac{4}{5}x+\frac{4}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{3}{5}x-\frac{2}{3}\right)^{2}.
\frac{9}{25}x^{2}-\frac{4}{5}x+\frac{4}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{3}{5}x-\frac{2}{3}\right)^{2}.