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

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

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

expand

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

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

Solution steps

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

Expand

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

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

(1 - cos (θ))^{2} + sin^{2} (θ)

(4 x - 1) ln (2)

\frac{( 1 - t ) b \cdot d}{b ( 1 - t ) + c}

\frac{1}{k ( a - x ) ( b - x )}

\frac{\partial}{\partial t} ((x) (2 s - t))

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