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}

\frac{( x ^{2} - 6 x - 1 )}{( x ^{2} + 1 ) ^{2}}

\frac{( y + 1 ) ^{3}}{3}

\frac{4 ( e - 1 )}{7}

2 ((x + 2)^{2} = - 24 + x (3 (x - 3) - 2 (x - 1)))

(y = x + 4,) (, y = - 2 x - 2)

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