What is expand (1-e^{-s}+s^2+4s)/(s(s^2+4s+5)) ?

The solution to expand (1-e^{-s}+s^2+4s)/(s(s^2+4s+5)) is (1-e^{-s}+s^2+4s)/(s^3+4s^2+5s)

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expand (1-e^{-s}+s^2+4s)/(s(s^2+4s+5))

expand

\frac{1 - e ^{- s} + s ^{2} + 4 s}{s ( s ^{2} + 4 s + 5 )}

\frac{1 - e ^{- s} + s ^{2} + 4 s}{s ^{3} + 4 s ^{2} + 5 s}

Solution steps

\frac{1 - e ^{- s} + s ^{2} + 4 s}{s ( s ^{2} + 4 s + 5 )}

Expand

s (s^{2} + 4 s + 5) : s^{3} + 4 s^{2} + 5 s

= \frac{1 - e ^{- s} + s ^{2} + 4 s}{s ^{3} + 4 s ^{2} + 5 s}

(3 sin (x) - 3 cos (x))^{2}

sin (2 (t - x))

e^{x} (e^{x} - e^{- x})

(\frac{1}{2} y^{2} - 3)^{2}

(4 + x 3)^{2}

What is expand (1-e^{-s}+s^2+4s)/(s(s^2+4s+5)) ?
The solution to expand (1-e^{-s}+s^2+4s)/(s(s^2+4s+5)) is (1-e^{-s}+s^2+4s)/(s^3+4s^2+5s)