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\frac{1}{4}-\frac{1}{3}x+\frac{1}{9}x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{2}-\frac{1}{3}x\right)^{2}.
\frac{1}{4}-\frac{1}{3}x+\frac{1}{9}x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{2}-\frac{1}{3}x\right)^{2}.