What is expand (10(s^2+119))/((s+5)(s^2+10s+169)) ?

The solution to expand (10(s^2+119))/((s+5)(s^2+10s+169)) is (10s^2+1190)/(s^3+15s^2+219s+845)

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expand (10(s^2+119))/((s+5)(s^2+10s+169))

expand

\frac{10 ( s ^{2} + 119 )}{( s + 5 ) ( s ^{2} + 10 s + 169 )}

\frac{10 s ^{2} + 1190}{s ^{3} + 15 s ^{2} + 219 s + 845}

Solution steps

\frac{10 ( s ^{2} + 119 )}{( s + 5 ) ( s ^{2} + 10 s + 169 )}

Expand

(s + 5) (s^{2} + 10 s + 169) : s^{3} + 15 s^{2} + 219 s + 845

= \frac{10 ( s ^{2} + 119 )}{s ^{3} + 15 s ^{2} + 219 s + 845}

Expand

10 (s^{2} + 119) : 10 s^{2} + 1190

= \frac{10 s ^{2} + 1190}{s ^{3} + 15 s ^{2} + 219 s + 845}

\frac{1}{9} (- 3 e^{- 3 x} x - e^{- 3 x}) + C

\frac{10}{s ( s + 4 )}

d o m (f + g)

\frac{- cos ( a ) ( 1 - cos ( a ) ) + sin ^{2} ( a )}{1 - cos ( a )}

3 x y^{''} (x) + 2 (1 - x) y^{'} (x) - 4 y

What is expand (10(s^2+119))/((s+5)(s^2+10s+169)) ?
The solution to expand (10(s^2+119))/((s+5)(s^2+10s+169)) is (10s^2+1190)/(s^3+15s^2+219s+845)