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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

(x^{2} + 1) e^{x}

(1 - e^{t} + 3 e^{- 4 t}) cos (5 t)

\frac{k ( 3 k - 1 )}{2} + (3 k + 1)

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

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