What is expand e^x(e^{-x}+e^x) ?

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

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

expand

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

1 + e^{2 x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

e^{x} e^{- x} + e^{x} e^{x} : 1 + e^{2 x}

= 1 + e^{2 x}

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\frac{5 ( 4 2 + 1 )}{31}

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