What is expand (s+3)/((s+1)(s+2)^2(s+4)) ?

The solution to expand (s+3)/((s+1)(s+2)^2(s+4)) is (s+3)/(s^4+9s^3+28s^2+36s+16)

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expand (s+3)/((s+1)(s+2)^2(s+4))

expand

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

\frac{s + 3}{s ^{4} + 9 s ^{3} + 28 s ^{2} + 36 s + 16}

Solution steps

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

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

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

Expand

(s + 1) (s^{2} + 4 s + 4) (s + 4) : s^{4} + 9 s^{3} + 28 s^{2} + 36 s + 16

= \frac{s + 3}{s ^{4} + 9 s ^{3} + 28 s ^{2} + 36 s + 16}

f (- 8 sec (x) tan (x) + 9 sec^{2} (x)) d x

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

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

e^{6 t} (6 e^{- 6 t} + C)

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

What is expand (s+3)/((s+1)(s+2)^2(s+4)) ?
The solution to expand (s+3)/((s+1)(s+2)^2(s+4)) is (s+3)/(s^4+9s^3+28s^2+36s+16)