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

The solution to expand 1/((s+1)*(s+2)^2) is 1/(s^3+5s^2+8s+4)

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expand 1/((s+1)*(s+2)^2)

expand

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

\frac{1}{s ^{3} + 5 s ^{2} + 8 s + 4}

Solution steps

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

(s + 2)^{2} = s^{2} + 4 s + 4

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

Expand

(s + 1) (s^{2} + 4 s + 4) : s^{3} + 5 s^{2} + 8 s + 4

= \frac{1}{s ^{3} + 5 s ^{2} + 8 s + 4}

\frac{\partial}{\partial y} ((z) (x - z - arctan (yz)))

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

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

2 (- \frac{7}{9} + \frac{8}{3} ln (2))

\frac{x}{( x + 7 ) ^{5}}

What is expand 1/((s+1)*(s+2)^2) ?
The solution to expand 1/((s+1)*(s+2)^2) is 1/(s^3+5s^2+8s+4)