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Popular >

factor ce^t+ce^{-t}

Solution

factor

c e^{t} + c e^{- t}

Solution

c e^{- t} (e^{2 t} + 1)

Solution steps

c e^{t} + c e^{- t}

Apply exponent rule:

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

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

= c e^{- t} e^{2 t} + c e^{- t}

Factor out common term

c e^{- t}

= c e^{- t} (e^{2 t} + 1)

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Frequently Asked Questions (FAQ)

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