What is expand ((s+1)^3)/(s^5) ?

The solution to expand ((s+1)^3)/(s^5) is 1/(s^2)+3/(s^3)+3/(s^4)+1/(s^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((s+1)^3)/(s^5)

expand

\frac{( s + 1 ) ^{3}}{s ^{5}}

\frac{1}{s ^{2}} + \frac{3}{s ^{3}} + \frac{3}{s ^{4}} + \frac{1}{s ^{5}}

Solution steps

\frac{( s + 1 ) ^{3}}{s ^{5}}

(s + 1)^{3} = s^{3} + 3 s^{2} + 3 s + 1

= \frac{s ^{3} + 3 s ^{2} + 3 s + 1}{s ^{5}}

Apply the fraction rule:

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

\frac{s ^{3} + 3 s ^{2} + 3 s + 1}{s ^{5}} = \frac{s ^{3}}{s ^{5}} + \frac{3 s ^{2}}{s ^{5}} + \frac{3 s}{s ^{5}} + \frac{1}{s ^{5}}

= \frac{s ^{3}}{s ^{5}} + \frac{3 s ^{2}}{s ^{5}} + \frac{3 s}{s ^{5}} + \frac{1}{s ^{5}}

Cancel

\frac{s ^{3}}{s ^{5}} : \frac{1}{s ^{2}}

= \frac{1}{s ^{2}} + \frac{3 s ^{2}}{s ^{5}} + \frac{3 s}{s ^{5}} + \frac{1}{s ^{5}}

Cancel

\frac{3 s ^{2}}{s ^{5}} : \frac{3}{s ^{3}}

= \frac{1}{s ^{2}} + \frac{3}{s ^{3}} + \frac{3 s}{s ^{5}} + \frac{1}{s ^{5}}

Cancel

\frac{3 s}{s ^{5}} : \frac{3}{s ^{4}}

= \frac{1}{s ^{2}} + \frac{3}{s ^{3}} + \frac{3}{s ^{4}} + \frac{1}{s ^{5}}

(1 - x) e^{x}

ln (a + 1) \cdot (e^{a} + a \cdot e^{a})

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

\frac{5}{( x - 1 ) ( x + 4 )}

\frac{x ( 3 x ^{2} + 5 x + 3 )}{x + 1}

What is expand ((s+1)^3)/(s^5) ?
The solution to expand ((s+1)^3)/(s^5) is 1/(s^2)+3/(s^3)+3/(s^4)+1/(s^5)