What is expand (0.5(1-e^{-2s}))/(s(10s+1)) ?

The solution to expand (0.5(1-e^{-2s}))/(s(10s+1)) is (0.5-0.5e^{-2s})/(10s^2+s)

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expand (0.5(1-e^{-2s}))/(s(10s+1))

expand

\frac{0.5 ( 1 - e ^{- 2 s} )}{s ( 10 s + 1 )}

\frac{0.5 - 0.5 e ^{- 2 s}}{10 s ^{2} + s}

Solution steps

\frac{0.5 ( 1 - e ^{- 2 s} )}{s ( 10 s + 1 )}

Expand

s (10 s + 1) : 10 s^{2} + s

= \frac{0.5 ( - e ^{- 2 s} + 1 )}{10 s ^{2} + s}

Expand

0.5 (1 - e^{- 2 s}) : 0.5 - 0.5 e^{- 2 s}

= \frac{0.5 - 0.5 e ^{- 2 s}}{10 s ^{2} + s}

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What is expand (0.5(1-e^{-2s}))/(s(10s+1)) ?
The solution to expand (0.5(1-e^{-2s}))/(s(10s+1)) is (0.5-0.5e^{-2s})/(10s^2+s)