What is expand ((s+1)(s+2))/(s^4) ?

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

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expand ((s+1)(s+2))/(s^4)

expand

\frac{( s + 1 ) ( s + 2 )}{s ^{4}}

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

Solution steps

\frac{( s + 1 ) ( s + 2 )}{s ^{4}}

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{s ^{2}}{s ^{4}} : \frac{1}{s ^{2}}

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

Cancel

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

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

(x + h)^{2} - 3

((m - 1) + 1)^{n}

\frac{sin ^{2} ( x ^{2} - 4 )}{( x + 2 ) tan ( x + 2 )}

\frac{( r - 1 ) ( r + 49 )}{r ^{2} - 49}

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

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