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

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

expand

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

e^{- 2 t} - 2 e^{- 2 t} t + e^{- 2 t} t^{2}

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

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

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

\frac{d}{d y} ((m) (x^{3} + x y^{2}))

(f \circ g) (x^{2} + 2 x - 7) (2 x - 9)

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

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

e^{3 t} (y^{'} (t) + 3 y)

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