What is expand (20000(1-e^{-s}))/((s+100)^2) ?

The solution to expand (20000(1-e^{-s}))/((s+100)^2) is (20000-20000e^{-s})/(s^2+200s+10000)

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expand (20000(1-e^{-s}))/((s+100)^2)

expand

\frac{20000 ( 1 - e ^{- s} )}{( s + 100 ) ^{2}}

\frac{20000 - 20000 e ^{- s}}{s ^{2} + 200 s + 10000}

Solution steps

\frac{20000 ( 1 - e ^{- s} )}{( s + 100 ) ^{2}}

(s + 100)^{2} = s^{2} + 200 s + 10000

= \frac{20000 ( - e ^{- s} + 1 )}{s ^{2} + 200 s + 10000}

Expand

20000 (1 - e^{- s}) : 20000 - 20000 e^{- s}

= \frac{20000 - 20000 e ^{- s}}{s ^{2} + 200 s + 10000}

3 d - 4 (e + 2)

\frac{1}{2} x^{2} (x - 2) (2 x + 1)^{4} (x^{2} - 6 x + 10)

\frac{1}{8} (x - \frac{1}{4} sin (4 x)) + C

z ((cos (t))^{2} + (sin (t))^{2} + 4 z^{2} = 4)

What is expand (20000(1-e^{-s}))/((s+100)^2) ?
The solution to expand (20000(1-e^{-s}))/((s+100)^2) is (20000-20000e^{-s})/(s^2+200s+10000)