What is expand (e^{5x}+e^{-5x})^2 ?

The solution to expand (e^{5x}+e^{-5x})^2 is e^{10x}+2+e^{-10x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^{5x}+e^{-5x})^2

expand

(e^{5 x} + e^{- 5 x})^{2}

e^{10 x} + 2 + e^{- 10 x}

Solution steps

(e^{5 x} + e^{- 5 x})^{2}

Apply Perfect Square Formula:

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

a = e^{5 x}, b = e^{- 5 x}

= (e^{5 x})^{2} + 2 e^{5 x} e^{- 5 x} + (e^{- 5 x})^{2}

Simplify

(e^{5 x})^{2} + 2 e^{5 x} e^{- 5 x} + (e^{- 5 x})^{2} : e^{10 x} + 2 + e^{- 10 x}

= e^{10 x} + 2 + e^{- 10 x}

(\frac{2 a - 1}{b})^{4}

(2 sin (θ) + 2 cos (θ))^{2}

t \cdot cos (wt) \cdot u (t^{2} - 1)

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

What is expand (e^{5x}+e^{-5x})^2 ?
The solution to expand (e^{5x}+e^{-5x})^2 is e^{10x}+2+e^{-10x}