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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^u+e^{-u})^2

expand

(e^{u} + e^{- u})^{2}

e^{2 u} + 2 + e^{- 2 u}

Solution steps

(e^{u} + e^{- u})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(2 - 1 1)

d (1 - cos (u))

\frac{6 c ^{2}}{5 d ^{3} ( t ^{2} - 8 t ^{3} ) ^{6}}

(6 - x)^{2}

- \frac{1}{24} (- 6 e^{- 6 x} x - e^{- 6 x})

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