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

The solution to expand (e^x+e^{-2x})^2 is e^{2x}+2e^{-x}+e^{-4x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

e^{2 x} + 2 e^{- x} + e^{- 4 x}

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{x}, b = e^{- 2 x}

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

Simplify

(e^{x})^{2} + 2 e^{x} e^{- 2 x} + (e^{- 2 x})^{2} : e^{2 x} + 2 e^{- x} + e^{- 4 x}

= e^{2 x} + 2 e^{- x} + e^{- 4 x}

- 6 (2 w - 3 + 6 w = 6 + 2 (6 w - 1))

\frac{( b )}{s ^{2} ( s + a )}

(x + 6) \circ (2 - 2)^{2} - 1

(e - 5)^{2}

(x^{2} + 3 x) cos (x) d x

What is expand (e^x+e^{-2x})^2 ?
The solution to expand (e^x+e^{-2x})^2 is e^{2x}+2e^{-x}+e^{-4x}