What is expand (e^{-x}-1)(e^x) ?

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

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expand (e^{-x}-1)(e^x)

expand

(e^{- x} - 1) (e^{x})

1 - e^{x}

Solution steps

(e^{- x} - 1) (e^{x})

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

Apply the distributive law:

a (b - c) = ab - a c

a = (e^{x}), b = e^{- x}, c = 1

= (e^{x}) e^{- x} - (e^{x}) \cdot 1

= e^{- x} (e^{x}) - 1 \cdot (e^{x})

Simplify

e^{- x} (e^{x}) - 1 \cdot (e^{x}) : 1 - e^{x}

= 1 - e^{x}

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(- \frac{1}{10} + 2 πi)^{10}

\frac{1}{( r - a y ) y}

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