What is expand (2s+2)/((s^2+1)(s-1)^3) ?

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

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expand (2s+2)/((s^2+1)(s-1)^3)

expand

\frac{2 s + 2}{( s ^{2} + 1 ) ( s - 1 ) ^{3}}

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

Solution steps

\frac{2 s + 2}{( s ^{2} + 1 ) ( s - 1 ) ^{3}}

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

= \frac{2 s + 2}{( s ^{2} + 1 ) ( s ^{3} - 3 s ^{2} + 3 s - 1 )}

Expand

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

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

[(cos (t))^{2} (1 + e^{2 t})^{3}]

2 (5 - 11)

- \frac{1}{( x + 3 ) ^{2}}

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

\frac{3 x + 25}{20 ( x - 2 )}

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