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

The solution to expand (e^{-s}(1-s))/(s^2) is (e^{-s}}{s^2}-\frac{e^{-s})/s

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

Cancel

\frac{e ^{- s} s}{s ^{2}} : \frac{e ^{- s}}{s}

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

\frac{3}{( z + 1 ) ( z - 2 ) ^{2}}

\frac{( 0.2 R ^{2} - 8 R + 8 )}{5 R ^{2} ( R - 2 ) ^{2}}

\frac{9 \cdot x + 6}{( x + 3 ) \cdot x \cdot ( x - 4 )}

\frac{3}{( x - 1 ) ( x + 2 )}

\frac{3 x ^{2} - 4 x + 5}{( x - 1 ) ( x ^{2} + 2 x + 1 )}

What is expand (e^{-s}(1-s))/(s^2) ?
The solution to expand (e^{-s}(1-s))/(s^2) is (e^{-s}}{s^2}-\frac{e^{-s})/s