What is expand (e^x-e^{-x})^2 ?

The solution to expand (e^x-e^{-x})^2 is e^{2x}-2+e^{-2x}

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expand (e^x-e^{-x})^2

expand

(e^{x} - e^{- x})^{2}

e^{2 x} - 2 + e^{- 2 x}

Solution steps

(e^{x} - e^{- x})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = e^{x}, b = e^{- x}

= (e^{x})^{2} - 2 e^{x} e^{- x} + (e^{- x})^{2}

Simplify

(e^{x})^{2} - 2 e^{x} e^{- x} + (e^{- x})^{2} : e^{2 x} - 2 + e^{- 2 x}

= e^{2 x} - 2 + e^{- 2 x}

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What is expand (e^x-e^{-x})^2 ?
The solution to expand (e^x-e^{-x})^2 is e^{2x}-2+e^{-2x}