What is expand (1+4e^{-10t})^2 ?

The solution to expand (1+4e^{-10t})^2 is 1+8e^{-10t}+16e^{-20t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1+4e^{-10t})^2

expand

(1 + 4 e^{- 10 t})^{2}

1 + 8 e^{- 10 t} + 16 e^{- 20 t}

Solution steps

(1 + 4 e^{- 10 t})^{2}

Apply Perfect Square Formula:

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

a = 1, b = 4 e^{- 10 t}

= 1^{2} + 2 \cdot 1 \cdot 4 e^{- 10 t} + (4 e^{- 10 t})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 4 e^{- 10 t} + (4 e^{- 10 t})^{2} : 1 + 8 e^{- 10 t} + 16 e^{- 20 t}

= 1 + 8 e^{- 10 t} + 16 e^{- 20 t}

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

x (2 ln (x) + 3)

x (2 x + 5)^{8} d x

\frac{( a + h ) ^{2}}{2} + (a + h)

\frac{3 ( 4 - x ^{2} )}{4}

What is expand (1+4e^{-10t})^2 ?
The solution to expand (1+4e^{-10t})^2 is 1+8e^{-10t}+16e^{-20t}