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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

(s + 2) e^{- s} : e^{- s} s + 2 e^{- s}

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

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

(3 x - 2 y = 1, 1) (- 2 x + 2 y = - 8)

(1000000 x - 10000000) e^{0.001 x}

(x) e^{x^{2}} (x^{2} + 7)^{10}

\frac{5 ( 131 + 14521 )}{22}

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