What is expand ((s+1)^3)/(s^4) ?

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

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expand ((s+1)^3)/(s^4)

expand

\frac{( s + 1 ) ^{3}}{s ^{4}}

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

Solution steps

\frac{( s + 1 ) ^{3}}{s ^{4}}

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

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

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

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

Cancel

\frac{s ^{3}}{s ^{4}} : \frac{1}{s}

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

Cancel

\frac{3 s ^{2}}{s ^{4}} : \frac{3}{s ^{2}}

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

Cancel

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

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

\frac{( x - 3 ) ^{8 n} ( x + 3 )}{( x - 2 ) ( x - 4 )}

(a - b)^{5}

f (x) = (x ln (x) - x) \cdot x^{2}

- \frac{d}{d s} ((s^{2} + 2 s + 2) (s + 2))

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

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