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}

(1 - cos (x))^{2}

(5 d + 8 e) (5 d - 8 e)

(a + bi)^{2}

(- 2 + i)^{4}

(x + Δ x)^{3}

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