Question

${(e^x+\frac{1}{e^x})}^2$

Answer 1

${(e^x+(\frac{1}{e^x}\left)\right)}^2={\left(e^x\right)}^2+{\left(\right(\frac{1}{e^x}\left)\right)}^2$

$+2.e^x.\left(\frac{1}{e^x}\right)=e^{2x}+e^{-2x}+2$