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

The solution to expand-(2s)/((s^2+1)^2(s+1)) is -(2s)/(s^5+s^4+2s^3+2s^2+s+1)

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

expand

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

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

Solution steps

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

(s^{2} + 1)^{2} = s^{4} + 2 s^{2} + 1

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

Expand

(s^{4} + 2 s^{2} + 1) (s + 1) : s^{5} + s^{4} + 2 s^{3} + 2 s^{2} + s + 1

= - \frac{2 s}{s ^{5} + s ^{4} + 2 s ^{3} + 2 s ^{2} + s + 1}

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

(x + y i)^{6}

e^{3 x} (10 - 6 y + e^{- 3 x})

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

\frac{20 n ( n + 1 )}{2}

What is expand-(2s)/((s^2+1)^2(s+1)) ?
The solution to expand-(2s)/((s^2+1)^2(s+1)) is -(2s)/(s^5+s^4+2s^3+2s^2+s+1)