What is expand ((2s+1)e^{-4s})/(4s^2+4s+5) ?

The solution to expand ((2s+1)e^{-4s})/(4s^2+4s+5) is (2e^{-4s}s+e^{-4s})/(4s^2+4s+5)

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expand ((2s+1)e^{-4s})/(4s^2+4s+5)

expand

\frac{( 2 s + 1 ) e ^{- 4 s}}{4 s ^{2} + 4 s + 5}

\frac{2 e ^{- 4 s} s + e ^{- 4 s}}{4 s ^{2} + 4 s + 5}

Solution steps

\frac{( 2 s + 1 ) e ^{- 4 s}}{4 s ^{2} + 4 s + 5}

Expand

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

= \frac{2 e ^{- 4 s} s + e ^{- 4 s}}{4 s ^{2} + 4 s + 5}

\frac{d}{d x} ((x + a) e^{2 x}) + b

3 x \cdot (5 + b x + 5)

D x (x) (2 x + 4)

4 δ (x - 4) (y)

cot (x) (sin (x) - sec (x))

What is expand ((2s+1)e^{-4s})/(4s^2+4s+5) ?
The solution to expand ((2s+1)e^{-4s})/(4s^2+4s+5) is (2e^{-4s}s+e^{-4s})/(4s^2+4s+5)