Find the value of (1/x)²+1/(1x)²

Dear Student,
$$\begin{gathered} {\left(\frac{1}{\mathrm{x}}\right)}^2+\frac{1}{{\left(1\mathrm{x}\right)}^2}={\left(\frac{1}{\mathrm{x}}\right)}^2+\frac{1}{{\left(\mathrm{x}\right)}^2} \\ =\frac{1}{{\mathrm{x}}^2}+\frac{1}{{\mathrm{x}}^2} \\ =\frac{2}{{\mathrm{x}}^2} \\ \Rightarrow {\left(\frac{\mathbf{1}}{\mathbf{x}}\right)}^{\mathbf{2}}\mathbf{+}\frac{\mathbf{1}}{{\left(\mathbf{1}\mathbf{x}\right)}^{\mathbf{2}}}\mathbf{=}\frac{\mathbf{2}}{{\mathbf{x}}^{\mathbf{2}}} \end{gathered}$$
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