What is expand 1/((s+3)*(s+2)^2) ?

The solution to expand 1/((s+3)*(s+2)^2) is 1/(s^3+7s^2+16s+12)

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expand 1/((s+3)*(s+2)^2)

expand

\frac{1}{( s + 3 ) \cdot ( s + 2 ) ^{2}}

\frac{1}{s ^{3} + 7 s ^{2} + 16 s + 12}

Solution steps

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

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

= \frac{1}{( s + 3 ) ( s ^{2} + 4 s + 4 )}

Expand

(s + 3) (s^{2} + 4 s + 4) : s^{3} + 7 s^{2} + 16 s + 12

= \frac{1}{s ^{3} + 7 s ^{2} + 16 s + 12}

\frac{x ^{2} + 6 x + 5}{( x - 2 ) ( x ^{2} + x + 1 )}

\frac{5 ( x ^{2} + 2 ) ^{4}}{2 x}

\frac{n ( n + 1 ) ( 2 + n ^{2} + n )}{8} + \frac{n ( n + 1 )}{2}

\frac{( sec ( x ) tan ( x ) )}{( 1 + sec ^{(2)} ( x ) ) d x}

4 (5 - x = 4)

What is expand 1/((s+3)*(s+2)^2) ?
The solution to expand 1/((s+3)*(s+2)^2) is 1/(s^3+7s^2+16s+12)