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

The solution to expand (-s^3+s-2)/(4(s^2+1)^2) is (-s^3+s-2)/(4s^4+8s^2+4)

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expand (-s^3+s-2)/(4(s^2+1)^2)

expand

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

\frac{- s ^{3} + s - 2}{4 s ^{4} + 8 s ^{2} + 4}

Solution steps

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

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

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

Expand

4 (s^{4} + 2 s^{2} + 1) : 4 s^{4} + 8 s^{2} + 4

= \frac{- s ^{3} + s - 2}{4 s ^{4} + 8 s ^{2} + 4}

\frac{2 ( u - 1 ) ^{3}}{u}

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

e^{x} (sin (y) + cos (y))

\frac{2 x ^{2} + 1}{x ( x ^{2} - 9 ) ( x ^{2} + 9 )}

\frac{( x - y ) ^{3}}{( y - z ) ^{2}}

What is expand (-s^3+s-2)/(4(s^2+1)^2) ?
The solution to expand (-s^3+s-2)/(4(s^2+1)^2) is (-s^3+s-2)/(4s^4+8s^2+4)