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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand e^t(e^{-t}t-2e^{-t})

expand

e^{t} (e^{- t} t - 2 e^{- t})

t - 2

Solution steps

e^{t} (e^{- t} t - 2 e^{- t})

Apply the distributive law:

a (b - c) = ab - a c

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

= e^{t} e^{- t} t - e^{t} \cdot 2 e^{- t}

= e^{t} e^{- t} t - 2 e^{t} e^{- t}

Simplify

e^{t} e^{- t} t - 2 e^{t} e^{- t} : t - 2

= t - 2

\frac{150}{( 20 + 10 )}

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

2 (x - \frac{3}{4})^{2} + \frac{41}{16}

(x^{2} + \frac{1}{4}) (x^{2} + \frac{1}{5})

(x - 2) (x - 3) (x - 1)

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