What is expand (s+2)/((s+4)(s^2+7s+12)) ?

The solution to expand (s+2)/((s+4)(s^2+7s+12)) is (s+2)/(s^3+11s^2+40s+48)

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expand (s+2)/((s+4)(s^2+7s+12))

expand

\frac{s + 2}{( s + 4 ) ( s ^{2} + 7 s + 12 )}

\frac{s + 2}{s ^{3} + 11 s ^{2} + 40 s + 48}

Solution steps

\frac{s + 2}{( s + 4 ) ( s ^{2} + 7 s + 12 )}

Expand

(s + 4) (s^{2} + 7 s + 12) : s^{3} + 11 s^{2} + 40 s + 48

= \frac{s + 2}{s ^{3} + 11 s ^{2} + 40 s + 48}

\frac{19 ( 40 s + 11 )}{6 ( 4 s + 3 ) ^{2} ( 5 s - 1 ) ^{2}}

6 (3 x - 10 = 5 (2 x + 15))

\frac{( x + 2 ) ( x + 1 ) ( 2 x + 3 )}{( x + 2 ) ( x + 1 )}

\frac{( n + 1 ) ( n + 2 ) ( 2 n + 9 )}{6}

\frac{2}{x ( x ^{2} - 16 )}

What is expand (s+2)/((s+4)(s^2+7s+12)) ?
The solution to expand (s+2)/((s+4)(s^2+7s+12)) is (s+2)/(s^3+11s^2+40s+48)