What is expand (2e^x+1-e^{-x})*e^x ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2e^x+1-e^{-x})*e^x

expand

(2 e^{x} + 1 - e^{- x}) \cdot e^{x}

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

Solution steps

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

= e^{x} (2 e^{x} + 1 - e^{- x})

Distribute parentheses

= e^{x} \cdot 2 e^{x} + e^{x} \cdot 1 + e^{x} (- e^{- x})

Apply minus-plus rules

+ (- a) = - a

= 2 e^{x} e^{x} + 1 \cdot e^{x} - e^{x} e^{- x}

Simplify

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

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

a cot (\frac{x y}{( x + 2 ) ^{2}})

\frac{2}{3 m ( 17 n - 12 m )}

\frac{( x ^{3} + x ^{2} ) ^{2}}{2 + C}

\frac{( 1 - ah ) ( 1 + 2 h )}{1 + ah}

\frac{α β}{( α + β ) ^{2} ( α + β + 1 )}

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