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Popular >

expand (1+e^{-t})e^t

Solution

expand

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

Solution

e^{t} + 1

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{t}, b = 1, c = e^{- t}

= e^{t} \cdot 1 + e^{t} e^{- t}

= 1 \cdot e^{t} + e^{t} e^{- t}

Simplify

1 \cdot e^{t} + e^{t} e^{- t} : e^{t} + 1

= e^{t} + 1

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Frequently Asked Questions (FAQ)

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