What is expand (20(-e^{-5s}+1))/(s(s^2+20s+200)) ?

The solution to expand (20(-e^{-5s}+1))/(s(s^2+20s+200)) is (-20e^{-5s}+20)/(s^3+20s^2+200s)

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expand (20(-e^{-5s}+1))/(s(s^2+20s+200))

expand

\frac{20 ( - e ^{- 5 s} + 1 )}{s ( s ^{2} + 20 s + 200 )}

\frac{- 20 e ^{- 5 s} + 20}{s ^{3} + 20 s ^{2} + 200 s}

Solution steps

\frac{20 ( - e ^{- 5 s} + 1 )}{s ( s ^{2} + 20 s + 200 )}

Expand

s (s^{2} + 20 s + 200) : s^{3} + 20 s^{2} + 200 s

= \frac{20 ( - e ^{- 5 s} + 1 )}{s ^{3} + 20 s ^{2} + 200 s}

Expand

20 (- e^{- 5 s} + 1) : - 20 e^{- 5 s} + 20

= \frac{- 20 e ^{- 5 s} + 20}{s ^{3} + 20 s ^{2} + 200 s}

(3 + 3 x)^{5}

(x + 2 \cdot y + 3 \cdot z)^{5}

9810 (1.5 - x) (3 - \frac{( 1.5 - x )}{2})

\frac{( x + 2 ) ( x - 4 )}{( x + 5 ) ( x - 3 )}

\frac{π ^{2}}{6} (x - \frac{1}{2})

What is expand (20(-e^{-5s}+1))/(s(s^2+20s+200)) ?
The solution to expand (20(-e^{-5s}+1))/(s(s^2+20s+200)) is (-20e^{-5s}+20)/(s^3+20s^2+200s)