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

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

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

expand

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

\frac{s ^{3} + 2 s ^{2} + 2 s}{s ^{3} + s + s ^{2} + 1}

Solution steps

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

Expand

(s + 1) (s^{2} + 1) : s^{3} + s + s^{2} + 1

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

Expand

(s^{2} + 2 s + 2) s : s^{3} + 2 s^{2} + 2 s

= \frac{s ^{3} + 2 s ^{2} + 2 s}{s ^{3} + s + s ^{2} + 1}

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

(e^{2 x} - 1) (e^{2 x} + 1)

(- 12 mn + 5) l e f t (- 3 mn - 2)

(a - 3 x - 2) x (a + 3 x - 2)

\frac{x ^{2} + 6}{2 x + 1} - \frac{1}{2} x

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