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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

(cos (x) + x sin (x))^{2}

\frac{4 x ( 14 x ^{2} - x ^{3} )}{147}

\frac{( x - 1 ) ( x + 5 )}{x - 5}

\frac{( x - y ) ^{3}}{x + y}

\frac{( x - 6 ) n ^{n}}{( n + 1 ) ^{n + 1}}

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