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

The solution to expand (e^{2y}+e^{-2y})^2 is e^{4y}+2+e^{-4y}

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

expand

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

e^{4 y} + 2 + e^{- 4 y}

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{2 y}, b = e^{- 2 y}

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

Simplify

(e^{2 y})^{2} + 2 e^{2 y} e^{- 2 y} + (e^{- 2 y})^{2} : e^{4 y} + 2 + e^{- 4 y}

= e^{4 y} + 2 + e^{- 4 y}

\frac{1}{s ^{3} ( s ^{3} - 2 s )}

2^{3} \cdot 2^{4}

\frac{( x + 5 ) ( x + 3 )}{2}

(2 - e)^{2}

\frac{( 3 x + 5 )}{( x - 1 ) ( x ^{4} + 7 )}

What is expand (e^{2y}+e^{-2y})^2 ?
The solution to expand (e^{2y}+e^{-2y})^2 is e^{4y}+2+e^{-4y}