What is expand (1-3(s+2pi))/((s+2pi)^2+1) ?

The solution to expand (1-3(s+2pi))/((s+2pi)^2+1) is (1-3s-6pi)/(s^2+4pis+4pi^2+1)

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expand (1-3(s+2pi))/((s+2pi)^2+1)

expand

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

\frac{1 - 3 s - 6 π}{s ^{2} + 4 π s + 4 π ^{2} + 1}

Solution steps

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

Expand

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

= \frac{1 - 3 ( s + 2 π )}{s ^{2} + 4 π s + 4 π ^{2} + 1}

Expand

1 - 3 (s + 2 π) : 1 - 3 s - 6 π

= \frac{1 - 3 s - 6 π}{s ^{2} + 4 π s + 4 π ^{2} + 1}

\frac{20}{( ( s ^{2} + 4 ) ( s ^{2} + 3 s + 2 ) )}

i (e^{2 + 3 i} - e^{- 2 - 3 i})

\frac{( x ^{2} + 5 x - 36 ) ( x - 4 )}{x + 7}

\frac{a ^{3} + b ^{3} + c ^{3} - 27 ab c}{( a + b ) ( b + c ) ( a + c )}

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

What is expand (1-3(s+2pi))/((s+2pi)^2+1) ?
The solution to expand (1-3(s+2pi))/((s+2pi)^2+1) is (1-3s-6pi)/(s^2+4pis+4pi^2+1)