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x^{2}-\frac{3}{2}x+\frac{9}{16}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{3}{4}\right)^{2}.
x^{2}-\frac{3}{2}x+\frac{9}{16}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{3}{4}\right)^{2}.