If \( \frac{(x+i)^{2}}{2 x-i}=\mathrm{A}+i \mathrm{~B} \), prove that \( \mathrm{A}^{2}+\mathrm{...
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0If \( \frac{(x+i)^{2}}{2 x-i}=\mathrm{A}+i \mathrm{~B} \), prove that \( \mathrm{A}^{2}+\mathrm{B}^{2}=\frac{\left(x^{2}+1\right)^{2}}{4 x^{2}+1} \)
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