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

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

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

expand

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

e^{2 y} - 2 + e^{- 2 y}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

43 (35 + 2)

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