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

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

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factor e^{jx}+e^{-jx}

factor

e^{j x} + e^{- j x}

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

Solution steps

e^{j x} + e^{- j x}

Apply exponent rule:

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

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

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

Factor out common term

e^{- j x}

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

2 + 23

(x + 3) - (2 x^{2})

x + (y - z)

1 + (- x^{2})

(c + d)^{2} - 18 (c + d) + 65

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