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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^{-t}+1)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{- t}, b = 1

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

Simplify

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

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

(x + 1) (x - x)

3 (2 + 3)

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

x + 3 \cdot (x^{2} - 4)

(1 - \frac{6}{y} + \frac{9}{y ^{2}}) (2 - \frac{6}{y + 3}) y

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