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

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

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

expand

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

e^{2 x} - 1

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} : e^{2 x} - 1

= e^{2 x} - 1

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