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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

x (x + 4 + 2)

\frac{π ( 3 ln ( 3 ) - 2 )}{2}

c (n, n - 1)

\frac{X}{( 1 - X ) ^{2}}

\frac{12 x ^{3} - 12}{( x ^{3} + 3 x + 2 ) ^{2}}

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