What is expand (3(1-x))/(2e^{x/2)sqrt(x)} ?

The solution to expand (3(1-x))/(2e^{x/2)sqrt(x)} is 3/(2e^{x/2)sqrt(x)}-(3x^{1/2})/(2e^{x/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3(1-x))/(2e^{x/2)sqrt(x)}

expand

\frac{3 ( 1 - x )}{2 e ^{\frac{x}{2}} x}

\frac{3}{2 e ^{\frac{x}{2}} x} - \frac{3 x ^{\frac{1}{2}}}{2 e ^{\frac{x}{2}}}

Solution steps

\frac{3 ( 1 - x )}{2 e ^{\frac{x}{2}} x}

Expand

3 (1 - x) : 3 - 3 x

= \frac{3 - 3 x}{2 e ^{\frac{x}{2}} x}

Apply the fraction rule:

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

\frac{3 - 3 x}{2 e ^{\frac{x}{2}} x} = \frac{3}{2 e ^{\frac{x}{2}} x} - \frac{3 x}{2 e ^{\frac{x}{2}} x}

= \frac{3}{2 e ^{\frac{x}{2}} x} - \frac{3 x}{2 e ^{\frac{x}{2}} x}

Cancel

\frac{3 x}{2 e ^{\frac{x}{2}} x} : \frac{3 x ^{\frac{1}{2}}}{2 e ^{\frac{x}{2}}}

= \frac{3}{2 e ^{\frac{x}{2}} x} - \frac{3 x ^{\frac{1}{2}}}{2 e ^{\frac{x}{2}}}

(3 - x + 2) (3 + x + 2)

\frac{1}{s ( s ^{2} - 1 )}

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

\frac{2 x ^{3} + 15 x ^{2} + 41 x + 25}{5 ( s + 3 )}

\frac{1}{( z ^{2} + 1 ) ^{2}}

What is expand (3(1-x))/(2e^{x/2)sqrt(x)} ?
The solution to expand (3(1-x))/(2e^{x/2)sqrt(x)} is 3/(2e^{x/2)sqrt(x)}-(3x^{1/2})/(2e^{x/2)}