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

The solution to expand (1+e^{-2s})^2 is 1+2e^{-2s}+e^{-4s}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

1 + 2 e^{- 2 s} + e^{- 4 s}

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = e^{- 2 s}

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

Simplify

1^{2} + 2 \cdot 1 \cdot e^{- 2 s} + (e^{- 2 s})^{2} : 1 + 2 e^{- 2 s} + e^{- 4 s}

= 1 + 2 e^{- 2 s} + e^{- 4 s}

\frac{6 x ^{3} + 14 x ^{2} + x - 12}{x ( x - 1 ) ( x + 2 ) ^{2}}

\frac{1}{3} + \frac{2}{9} (1.1 - 1)

\frac{3 x}{( x - 2 ) ( x ^{2} + 5 ) ^{3}}

cos (x) (csc (x) - sec (x))

(\frac{x}{2} + \frac{1}{x})^{12}

What is expand (1+e^{-2s})^2 ?
The solution to expand (1+e^{-2s})^2 is 1+2e^{-2s}+e^{-4s}