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 ^{3} - s b})

- \frac{12 ( 6 + 2 )}{17}

\frac{7 x + 2}{( x + 2 ) ^{2} ( x - 2 )}

\frac{( k ^{2} + 2 k + 1 ) ( k ^{2} + 4 k + 4 )}{4}

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

\frac{π}{2} (x - 3)

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))