en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

expand

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

Solution

e^{s} - 1

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

= e^{s} \cdot 1 - e^{s} e^{- s}

= 1 \cdot e^{s} - e^{s} e^{- s}

Simplify

1 \cdot e^{s} - e^{s} e^{- s} : e^{s} - 1

= e^{s} - 1

Popular Examples

((s+5))/((s+8)(s-3))

\frac{( s + 5 )}{( s + 8 ) ( s - 3 )}

expand (s^2+9s+6)/(s(s+1)(s+3))expand

\frac{s ^{2} + 9 s + 6}{s ( s + 1 ) ( s + 3 )}

expand (3x)/(5(x+4))expand

\frac{3 x}{5 ( x + 4 )}

expand (6x(x^2+9))/((-x^2+3)^3)expand

\frac{6 x ( x ^{2} + 9 )}{( - x ^{2} + 3 ) ^{3}}

expand (3ab^2)/((a+bx)^2)expand

\frac{3 a b ^{2}}{( a + b x ) ^{2}}

Frequently Asked Questions (FAQ)

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