What is factor e^{-2jt-3}+e^{2jt-3} ?

The solution to factor e^{-2jt-3}+e^{2jt-3} is e^{-2jt-3}(1+e^{4jt})

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factor e^{-2jt-3}+e^{2jt-3}

factor

e^{- 2 j t - 3} + e^{2 j t - 3}

e^{- 2 j t - 3} (1 + e^{4 j t})

Solution steps

e^{- 2 j t - 3} + e^{2 j t - 3}

Apply exponent rule:

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

= e^{- 3} e^{- 2 j t} + e^{- 3} e^{2 j t}

Apply exponent rule:

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

e^{2 j t} = e^{- 2 j t} e^{4 j t}

= e^{- 2 j t} e^{- 3} + e^{- 2 j t} e^{4 j t} e^{- 3}

Factor out common term

e^{- 2 j t} e^{- 3}

= e^{- 2 j t} e^{- 3} (1 + e^{4 j t})

Refine

= e^{- 2 j t - 3} (e^{4 j t} + 1)

(2 a + b - c)^{2} - (a + b)

\frac{d}{d θ} ((t) (cot (θ) y (t, θ)))

- \frac{1}{5} x^{2} + 2 x - 4

(- 12 n) + (- 21)

What is factor e^{-2jt-3}+e^{2jt-3} ?
The solution to factor e^{-2jt-3}+e^{2jt-3} is e^{-2jt-3}(1+e^{4jt})