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x^{2}+\frac{17}{2}x+\frac{289}{16}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+\frac{17}{4}\right)^{2}.
x^{2}+\frac{17}{2}x+\frac{289}{16}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+\frac{17}{4}\right)^{2}.