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}}

(x - x)^{2}

L im x \Rightarrow \frac{1}{2} (x + 3)

(\frac{5}{7} x - \frac{1}{3} y) (\frac{5}{7} x + \frac{1}{3} y)

(x - 1 + 2) (x - 1 - 2)

(y + 3)^{2}

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)