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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

t^{2} cos (ln (t)) \cdot (2 t sin (ln (t)) + t cos (ln (t)))

(sin (6 x) + cos (6 x))^{2}

sin (θ) + (sin (θ) + cos (θ)) cos (θ)

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

(e^{0.5 x} - 2)^{2}

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