Simplify ((e^x+e^(-x))/2)^2

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

Apply the product rule to $\frac{e^{x} + e^{- x}}{2}$ .

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