What is expand e^x(2x+e^{-x}) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

2 e^{x} x + 1

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

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

= 2 e^{x} x + 1

\frac{P ( 1 - V )}{1 + P}

\frac{( x - 3 ) ( x + 1 )}{x + 2}

\frac{7 s + 37}{s ( 5 + s )}

- (2 v y^{2} + v^{2} y^{2}) d y

- \frac{8}{x ( x ^{2} + 2 )}

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