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

The solution to expand (3b)/((s+2)^2(s+4)) is (3b)/(s^3+8s^2+20s+16)

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

expand

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

\frac{3 b}{s ^{3} + 8 s ^{2} + 20 s + 16}

Solution steps

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

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

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

Expand

(s^{2} + 4 s + 4) (s + 4) : s^{3} + 8 s^{2} + 20 s + 16

= \frac{3 b}{s ^{3} + 8 s ^{2} + 20 s + 16}

\frac{( x ^{2} - 4 ) ( x + 2 )}{9 ( x ^{2 x} + 4 x + 4 )}

\frac{1 - e ^{- 2 s}}{s ( s ^{2} + 16 )}

5 cos (2) (π - θ)

\frac{50}{3} \cdot (30 - i \cdot 40)

(- 2 e^{- 2 t} sin (3 t) - 3 e^{- 2 t} cos (3 t))^{2}

What is expand (3b)/((s+2)^2(s+4)) ?
The solution to expand (3b)/((s+2)^2(s+4)) is (3b)/(s^3+8s^2+20s+16)