en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand x*(e^{1/x}-1)

Solution

expand

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

Solution

e^{\frac{1}{x}} x - x

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = x, b = e^{\frac{1}{x}}, c = 1

= x e^{\frac{1}{x}} - x \cdot 1

= e^{\frac{1}{x}} x - 1 \cdot x

Multiply:

1 \cdot x = x

= e^{\frac{1}{x}} x - x

Popular Examples

expand-(2(6x^2+x-332))/((x+8)(x+7)(x-3))expand

- \frac{2 ( 6 x ^{2} + x - 332 )}{( x + 8 ) ( x + 7 ) ( x - 3 )}

expand e^{3t}(t+e^{-2t})expand

e^{3 t} (t + e^{- 2 t})

expand pi+sqrt(2)+1/2+5/4 expand

π + 2 + \frac{1}{2} + \frac{5}{4}

expand (-3e^xsin(y)+2e^ycos(x))^2 expand

(- 3 e^{x} sin (y) + 2 e^{y} cos (x))^{2}

expand (s+3.9997)/(s(s+4)(s+6))expand

\frac{s + 3.9997}{s ( s + 4 ) ( s + 6 )}

Frequently Asked Questions (FAQ)

What is expand x*(e^{1/x}-1) ?
The solution to expand x*(e^{1/x}-1) is e^{1/x}x-x