What is expand-d/(ds)(A/(s(s^2-B))) ?

The solution to expand-d/(ds)(A/(s(s^2-B))) is -d/(ds)(A/(s^3-sB))

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expand-d/(ds)(A/(s(s^2-B)))

expand

- \frac{d}{d s} (\frac{A}{s ( s ^{2} - B )})

- \frac{d}{d s} (\frac{A}{s ^{3} - s B})

Solution steps

- \frac{d}{d s} (\frac{A}{s ( s ^{2} - B )})

Expand

s (s^{2} - B) : s^{3} - s B

= - \frac{d}{d s} (\frac{A}{- s B + s ^{3}})

\frac{- 2 a + π}{2 ( - b + 1 )}

- \frac{d}{d s} (\frac{6 ( s + 3 )}{s ^{2} + 6 s + 18})

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

\frac{2.25}{( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

What is expand-d/(ds)(A/(s(s^2-B))) ?
The solution to expand-d/(ds)(A/(s(s^2-B))) is -d/(ds)(A/(s^3-sB))