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

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

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})^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

tan (x) (cot (x) - cos (x))

(x + 2)^{2}

\frac{( x - 1 ) ^{3}}{x ^{2}}

\frac{6}{( s ^{2} + 4 s + 20 ) ^{2}}

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

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