What is expand ((s^2+3s+8))/(((s+1)(s^2+5s+5))) ?

The solution to expand ((s^2+3s+8))/(((s+1)(s^2+5s+5))) is (s^2+3s+8)/(s^3+6s^2+10s+5)

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expand ((s^2+3s+8))/(((s+1)(s^2+5s+5)))

expand

\frac{( s ^{2} + 3 s + 8 )}{( ( s + 1 ) ( s ^{2} + 5 s + 5 ) )}

\frac{s ^{2} + 3 s + 8}{s ^{3} + 6 s ^{2} + 10 s + 5}

Solution steps

\frac{s ^{2} + 3 s + 8}{( s + 1 ) ( s ^{2} + 5 s + 5 )}

Expand

(s + 1) (s^{2} + 5 s + 5) : s^{3} + 6 s^{2} + 10 s + 5

= \frac{s ^{2} + 3 s + 8}{s ^{3} + 6 s ^{2} + 10 s + 5}

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

\frac{( ( - 1 ) ^{n} \cdot n ! )}{( 8 ^{n} ( n + 1 ) )}

π (x - π)

P (1, - 2) Q (3, 4)

(\frac{1}{x ^{3}} - x^{2})^{18}

What is expand ((s^2+3s+8))/(((s+1)(s^2+5s+5))) ?
The solution to expand ((s^2+3s+8))/(((s+1)(s^2+5s+5))) is (s^2+3s+8)/(s^3+6s^2+10s+5)