What is expand ((s+2)^2)/(s^3) ?

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

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expand ((s+2)^2)/(s^3)

expand

\frac{( s + 2 ) ^{2}}{s ^{3}}

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

Solution steps

\frac{( s + 2 ) ^{2}}{s ^{3}}

(s + 2)^{2} = s^{2} + 4 s + 4

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

Apply the fraction rule:

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

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

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

Cancel

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

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

Cancel

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

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

ln (ab)

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

ln (\frac{x ^{2}}{y ^{3}})

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

(y^{2} + \frac{2}{y})^{21}

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