What is expand (10s^3+20s+2)/((s^2+1)(s^2+2)) ?

The solution to expand (10s^3+20s+2)/((s^2+1)(s^2+2)) is (10s^3+20s+2)/(s^4+3s^2+2)

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expand (10s^3+20s+2)/((s^2+1)(s^2+2))

expand

\frac{10 s ^{3} + 20 s + 2}{( s ^{2} + 1 ) ( s ^{2} + 2 )}

\frac{10 s ^{3} + 20 s + 2}{s ^{4} + 3 s ^{2} + 2}

Solution steps

\frac{10 s ^{3} + 20 s + 2}{( s ^{2} + 1 ) ( s ^{2} + 2 )}

Expand

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

= \frac{10 s ^{3} + 20 s + 2}{s ^{4} + 3 s ^{2} + 2}

\frac{4 ( x + 1 ) ( 2 x + 1 )}{3 x ^{2}}

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

\frac{s}{( s ^{2} + 2 s + 10 )}

x (- 1 - 18 y^{3} + ln (3) \cdot 3^{y} x y)

(1 - 5 x + 4 x^{2})^{5}

What is expand (10s^3+20s+2)/((s^2+1)(s^2+2)) ?
The solution to expand (10s^3+20s+2)/((s^2+1)(s^2+2)) is (10s^3+20s+2)/(s^4+3s^2+2)