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

The solution to expand 1/((s-1)^2(s^2-2s+1)) is 1/(s^4-4s^3+6s^2-4s+1)

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

expand

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

\frac{1}{s ^{4} - 4 s ^{3} + 6 s ^{2} - 4 s + 1}

Solution steps

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

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

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

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

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

(s^{2} - 2 s + 1)^{2} = s^{4} - 4 s^{3} + 6 s^{2} - 4 s + 1

= \frac{1}{s ^{4} - 4 s ^{3} + 6 s ^{2} - 4 s + 1}

\frac{8 y + 6}{( 4 y - 9 ) ( y + 2 )}

sin (x) cos (x) (- csc (x) + sec (x))

\frac{1}{4} (e^{2 x} \cdot 2 x - e^{2 x})

What is expand 1/((s-1)^2(s^2-2s+1)) ?
The solution to expand 1/((s-1)^2(s^2-2s+1)) is 1/(s^4-4s^3+6s^2-4s+1)