What is expand (s+2)/(((s+2)^2+9)*(s+2)^2) ?

The solution to expand (s+2)/(((s+2)^2+9)*(s+2)^2) is 1/(s^3+6s^2+21s+26)

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expand (s+2)/(((s+2)^2+9)*(s+2)^2)

expand

\frac{s + 2}{( ( s + 2 ) ^{2} + 9 ) \cdot ( s + 2 ) ^{2}}

\frac{1}{s ^{3} + 6 s ^{2} + 21 s + 26}

Solution steps

\frac{s + 2}{( ( s + 2 ) ^{2} + 9 ) ( s + 2 ) ^{2}}

Cancel the common factor:

s + 2

= \frac{1}{( ( s + 2 ) ^{2} + 9 ) ( s + 2 )}

Expand

(s + 2)^{2} + 9 : s^{2} + 4 s + 13

= \frac{1}{( s ^{2} + 4 s + 13 ) ( s + 2 )}

Expand

(s^{2} + 4 s + 13) (s + 2) : s^{3} + 6 s^{2} + 21 s + 26

= \frac{1}{s ^{3} + 6 s ^{2} + 21 s + 26}

\frac{( k - 1 ) ( 3 k ^{6} - k ^{5} - k ^{4} + k ^{3} + k ^{2} + k + 1 )}{k ^{4}}

\frac{2 sin ( x ) - sin ( 2 x )}{2 cos ( x ) ( 1 - cos ( x ) )}

(5 x + 8 x^{3} - x^{2} + 9) l e f t (4 x - 5)

1 - 2 (x + h) - 1 - 2 x

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

What is expand (s+2)/(((s+2)^2+9)*(s+2)^2) ?
The solution to expand (s+2)/(((s+2)^2+9)*(s+2)^2) is 1/(s^3+6s^2+21s+26)