What is expand e^x(x+10e^{-x}) ?

The solution to expand e^x(x+10e^{-x}) is e^xx+10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand e^x(x+10e^{-x})

expand

e^{x} (x + 10 e^{- x})

e^{x} x + 10

Solution steps

e^{x} (x + 10 e^{- x})

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = x, c = 10 e^{- x}

= e^{x} x + e^{x} \cdot 10 e^{- x}

= e^{x} x + 10 e^{x} e^{- x}

10 e^{x} e^{- x} = 10

= e^{x} x + 10

\frac{s + 1}{s ^{2} ( s ^{2} + 9 )}

\frac{x ^{2} + 2 x - 5}{( x + 5 ) ( x + 2 )}

(83.98 - 62.98 i) (0, 4 - 6 i)

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

\frac{d}{d x} (e^{(20 + 0.5 i) \cdot x})

What is expand e^x(x+10e^{-x}) ?
The solution to expand e^x(x+10e^{-x}) is e^xx+10