What is expand (pi(e^4-1))/(4e^4) ?

The solution to expand (pi(e^4-1))/(4e^4) is pi/4-pi/(4e^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (pi(e^4-1))/(4e^4)

expand

\frac{π ( e ^{4} - 1 )}{4 e ^{4}}

\frac{π}{4} - \frac{π}{4 e ^{4}}

Decimal Notation

0.77101 \dots

Solution steps

\frac{π ( e ^{4} - 1 )}{4 e ^{4}}

Expand

π (e^{4} - 1) : e^{4} π - π

= \frac{e ^{4} π - π}{4 e ^{4}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{e ^{4} π - π}{4 e ^{4}} = \frac{e ^{4} π}{4 e ^{4}} - \frac{π}{4 e ^{4}}

= \frac{e ^{4} π}{4 e ^{4}} - \frac{π}{4 e ^{4}}

Cancel

\frac{e ^{4} π}{4 e ^{4}} : \frac{π}{4}

= \frac{π}{4} - \frac{π}{4 e ^{4}}

e^{x} \cdot (1 - e^{x})

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

- \frac{4}{x ( x - 4 )}

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

e^{2 (1 - 3 i) z} + e^{2 (1 + 3 i) z}

What is expand (pi(e^4-1))/(4e^4) ?
The solution to expand (pi(e^4-1))/(4e^4) is pi/4-pi/(4e^4)