What is expand (6s+2s^2+2)/((s+1)(s^2+1)) ?

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

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expand (6s+2s^2+2)/((s+1)(s^2+1))

expand

\frac{6 s + 2 s ^{2} + 2}{( s + 1 ) ( s ^{2} + 1 )}

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

Solution steps

\frac{6 s + 2 s ^{2} + 2}{( s + 1 ) ( s ^{2} + 1 )}

Expand

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

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

\frac{3 ( 3 - 3 )}{2}

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

\frac{d ^{2}}{d x ^{2}} ((f (x, y)) (- 6 x y - 6 x))

\frac{- 3 x ^{3} + 23 s ^{2} + 578}{s ^{2} ( s ^{2} - 6 s + 34 )}

\frac{( 2 x y + 1 ) ^{7}}{128}

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