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

The solution to expand (4e^{-2s})/((s-1)(s+4)^2) is (4e^{-2s})/(s^3+7s^2+8s-16)

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

expand

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

\frac{4 e ^{- 2 s}}{s ^{3} + 7 s ^{2} + 8 s - 16}

Solution steps

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

(s + 4)^{2} = s^{2} + 8 s + 16

= \frac{4 e ^{- 2 s}}{( s - 1 ) ( s ^{2} + 8 s + 16 )}

Expand

(s - 1) (s^{2} + 8 s + 16) : s^{3} + 7 s^{2} + 8 s - 16

= \frac{4 e ^{- 2 s}}{s ^{3} + 7 s ^{2} + 8 s - 16}

ln (\frac{2 x}{x - 2})

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

P (6, 5) y Q (2, - 3)

F (3, - \frac{3}{4})

\frac{( x ^{2} - 2 x + 3 )}{( x - 3 ) ( x ^{2} + 9 )}

What is expand (4e^{-2s})/((s-1)(s+4)^2) ?
The solution to expand (4e^{-2s})/((s-1)(s+4)^2) is (4e^{-2s})/(s^3+7s^2+8s-16)