What is expand (1-3e^{-s}+s^2+9s)/(s(s+4)^2) ?

The solution to expand (1-3e^{-s}+s^2+9s)/(s(s+4)^2) is (1-3e^{-s}+s^2+9s)/(s^3+8s^2+16s)

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expand (1-3e^{-s}+s^2+9s)/(s(s+4)^2)

expand

\frac{1 - 3 e ^{- s} + s ^{2} + 9 s}{s ( s + 4 ) ^{2}}

\frac{1 - 3 e ^{- s} + s ^{2} + 9 s}{s ^{3} + 8 s ^{2} + 16 s}

Solution steps

\frac{1 - 3 e ^{- s} + s ^{2} + 9 s}{s ( s + 4 ) ^{2}}

(s + 4)^{2} = s^{2} + 8 s + 16

= \frac{1 - 3 e ^{- s} + s ^{2} + 9 s}{s ( s ^{2} + 8 s + 16 )}

Expand

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

= \frac{1 - 3 e ^{- s} + s ^{2} + 9 s}{s ^{3} + 8 s ^{2} + 16 s}

(32 x - 3)^{2}

p u n t os (- 3, 2) y (6, - 4)

(2 + 7 i)^{6}

s^{2} (k + \frac{- g m - l g m - s ^{2} m - m I - l m I}{- g - s ^{2} - I})

What is expand (1-3e^{-s}+s^2+9s)/(s(s+4)^2) ?
The solution to expand (1-3e^{-s}+s^2+9s)/(s(s+4)^2) is (1-3e^{-s}+s^2+9s)/(s^3+8s^2+16s)