What is expand 1/((s+1)(s^2+4s+25)) ?

The solution to expand 1/((s+1)(s^2+4s+25)) is 1/(s^3+5s^2+29s+25)

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expand 1/((s+1)(s^2+4s+25))

expand

\frac{1}{( s + 1 ) ( s ^{2} + 4 s + 25 )}

\frac{1}{s ^{3} + 5 s ^{2} + 29 s + 25}

Solution steps

\frac{1}{( s + 1 ) ( s ^{2} + 4 s + 25 )}

Expand

(s + 1) (s^{2} + 4 s + 25) : s^{3} + 5 s^{2} + 29 s + 25

= \frac{1}{s ^{3} + 5 s ^{2} + 29 s + 25}

(- 4 e^{x} + 8 e) (- 2 e^{x} + e + 2)

\frac{1}{5 ( 35 - 10 x )}

\frac{k ( s + 5 )}{s ( s + 1 ) ( s + 10 )}

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

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

What is expand 1/((s+1)(s^2+4s+25)) ?
The solution to expand 1/((s+1)(s^2+4s+25)) is 1/(s^3+5s^2+29s+25)