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

The solution to expand 1/((s-1)^2(s-2)) is 1/(s^3-4s^2+5s-2)

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

expand

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

\frac{1}{s ^{3} - 4 s ^{2} + 5 s - 2}

Solution steps

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

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

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

Expand

(s^{2} - 2 s + 1) (s - 2) : s^{3} - 4 s^{2} + 5 s - 2

= \frac{1}{s ^{3} - 4 s ^{2} + 5 s - 2}

\frac{6 - 2}{4}

\frac{( x ^{2} \cdot ( e ^{x} - 1 ) )}{sin ( x ) - x}

(3 + mi)^{2}

\frac{7 ( 2 3 + 2 )}{10}

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

What is expand 1/((s-1)^2(s-2)) ?
The solution to expand 1/((s-1)^2(s-2)) is 1/(s^3-4s^2+5s-2)