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

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

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

expand

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

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

Solution steps

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

Expand

(s^{2} + π^{2}) (s^{2} + 1) : s^{4} + s^{2} + π^{2} s^{2} + π^{2}

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

Expand

π (e^{- s} + 1) : π e^{- s} + π

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

(\frac{1}{2} - 2 p)^{2}

1 - 2 x (1 - 2 x)

(cos (θ) + sin (θ) i)^{3}

4 (6 + 10 + 14)

\frac{( x - 2 ) ( 12 - x )}{x - 11}

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