What is expand s/((s-1)(s^2-2s+10)) ?

The solution to expand s/((s-1)(s^2-2s+10)) is s/(s^3-3s^2+12s-10)

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expand s/((s-1)(s^2-2s+10))

expand

\frac{s}{( s - 1 ) ( s ^{2} - 2 s + 10 )}

\frac{s}{s ^{3} - 3 s ^{2} + 12 s - 10}

Solution steps

\frac{s}{( s - 1 ) ( s ^{2} - 2 s + 10 )}

Expand

(s - 1) (s^{2} - 2 s + 10) : s^{3} - 3 s^{2} + 12 s - 10

= \frac{s}{s ^{3} - 3 s ^{2} + 12 s - 10}

\frac{d x}{x ( x ^{2} + 1 ) ^{2}}

\frac{( 7 x + 10 ) ( x - 1 )}{( x + 1 ) ( 2 x - 17 )}

\frac{- 3 x ^{2} + 4 x - 12}{( 3 x - 2 ) ^{2}}

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

What is expand s/((s-1)(s^2-2s+10)) ?
The solution to expand s/((s-1)(s^2-2s+10)) is s/(s^3-3s^2+12s-10)