What is expand (4s-2)e^{-pi/2-s} ?

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

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expand (4s-2)e^{-pi/2-s}

expand

(4 s - 2) e^{- \frac{π}{2} - s}

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

Solution steps

(4 s - 2) e^{- \frac{π}{2} - s}

= e^{- \frac{π}{2} - s} (4 s - 2)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{- \frac{π}{2} - s}, b = 4 s, c = 2

= e^{- \frac{π}{2} - s} \cdot 4 s - e^{- \frac{π}{2} - s} \cdot 2

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

\frac{x}{( e ^{x} ( x + 2 ) )}

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\frac{k ( s + 2 )}{s ^{2} - s + k s + 2 k}

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