What is factor e^{ax}+e^{-ax} ?

The solution to factor e^{ax}+e^{-ax} is e^{-ax}(e^{2ax}+1)

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factor e^{ax}+e^{-ax}

factor

e^{a x} + e^{- a x}

e^{- a x} (e^{2 a x} + 1)

Solution steps

e^{a x} + e^{- a x}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

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

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

Factor out common term

e^{- a x}

= e^{- a x} (e^{2 a x} + 1)

(2 + 3)^{2}

- 20 e t y + 28 t y

2 \cdot \frac{1}{2}

x y + zy + x t + z t

2 y t e^{y} - 2 t e^{y}

What is factor e^{ax}+e^{-ax} ?
The solution to factor e^{ax}+e^{-ax} is e^{-ax}(e^{2ax}+1)