What is expand s/((s^2+9)(s+3)^2) ?

The solution to expand s/((s^2+9)(s+3)^2) is s/(s^4+6s^3+18s^2+54s+81)

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expand s/((s^2+9)(s+3)^2)

expand

\frac{s}{( s ^{2} + 9 ) ( s + 3 ) ^{2}}

\frac{s}{s ^{4} + 6 s ^{3} + 18 s ^{2} + 54 s + 81}

Solution steps

\frac{s}{( s ^{2} + 9 ) ( s + 3 ) ^{2}}

(s + 3)^{2} = s^{2} + 6 s + 9

= \frac{s}{( s ^{2} + 9 ) ( s ^{2} + 6 s + 9 )}

Expand

(s^{2} + 9) (s^{2} + 6 s + 9) : s^{4} + 6 s^{3} + 18 s^{2} + 54 s + 81

= \frac{s}{s ^{4} + 6 s ^{3} + 18 s ^{2} + 54 s + 81}

\frac{8 x ^{3} - 64}{( 3 x - 8 ) ^{5}}

- 48 t^{2} e^{- t^{2} + 2 t} \cdot (2 t - 2)

\frac{2 x ^{2} + 8 x - 6}{( x + 2 ) ^{2}}

\frac{2 x ^{3} - 4 x ^{2} - 15 x + 4}{( x - 1 ) ^{2}}

B (2, - 5)

What is expand s/((s^2+9)(s+3)^2) ?
The solution to expand s/((s^2+9)(s+3)^2) is s/(s^4+6s^3+18s^2+54s+81)