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Popular >

expand e^x(e^{-x}+2)

Solution

expand

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

Solution

1 + 2 e^{x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = e^{- x}, c = 2

= e^{x} e^{- x} + e^{x} \cdot 2

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

e^{x} e^{- x} = 1

= 1 + 2 e^{x}

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Frequently Asked Questions (FAQ)

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