What is expand 1/((s+15)(s^2+6s+13)) ?

The solution to expand 1/((s+15)(s^2+6s+13)) is 1/(s^3+21s^2+103s+195)

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expand 1/((s+15)(s^2+6s+13))

expand

\frac{1}{( s + 15 ) ( s ^{2} + 6 s + 13 )}

\frac{1}{s ^{3} + 21 s ^{2} + 103 s + 195}

Solution steps

\frac{1}{( s + 15 ) ( s ^{2} + 6 s + 13 )}

Expand

(s + 15) (s^{2} + 6 s + 13) : s^{3} + 21 s^{2} + 103 s + 195

= \frac{1}{s ^{3} + 21 s ^{2} + 103 s + 195}

\frac{3 x ^{2} - 9}{( x - 1 ) ^{2}}

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

D x ((x^{2} - 3 x + 2) (2 x^{3} + 1))

\frac{- y ^{2} - 2 x y}{x ( x + 2 y )}

(x + 2) (x - 3)

What is expand 1/((s+15)(s^2+6s+13)) ?
The solution to expand 1/((s+15)(s^2+6s+13)) is 1/(s^3+21s^2+103s+195)