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

The solution to expand 1/((s-2)^2(s-1)) is 1/(s^3-5s^2+8s-4)

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

expand

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

\frac{1}{s ^{3} - 5 s ^{2} + 8 s - 4}

Solution steps

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

(s - 2)^{2} = s^{2} - 4 s + 4

= \frac{1}{( s ^{2} - 4 s + 4 ) ( s - 1 )}

Expand

(s^{2} - 4 s + 4) (s - 1) : s^{3} - 5 s^{2} + 8 s - 4

= \frac{1}{s ^{3} - 5 s ^{2} + 8 s - 4}

\frac{b ( 4 h - 3 y ) ( - 3 y + h )}{18 h}

(x + 3 - 2) \cdot (x + 3 + 2)

\frac{3 k + 2 l ^{2}}{l}

(- a - a^{2} - 4)^{2}

(x^{2} + \frac{1}{25 x ^{2}}) \cdot 5

What is expand 1/((s-2)^2(s-1)) ?
The solution to expand 1/((s-2)^2(s-1)) is 1/(s^3-5s^2+8s-4)