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

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

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

expand

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

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

Solution steps

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

Expand

s^{2} (s^{2} + 2 s + 2) - s : s^{4} + 2 s^{3} + 2 s^{2} - s

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

\frac{- 3 s - 5}{2 ( s + 1 ) ( s + 4 ) ( s + 3 )}

\frac{3}{x + 5} + \frac{7}{x - 2}

18 ((x - 1)^{3} (x - 3)^{11})

(6 x y^{3} + cos (y)) d x + (3 k x^{2} y^{2} - 3 y^{2}) d y

f (15 x^{4} - 33 x^{2} + 4) d x

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