What is expand (s+(s^2+1)^2)/((s^2+1)(s^2+3s+7)) ?

The solution to expand (s+(s^2+1)^2)/((s^2+1)(s^2+3s+7)) is (s+s^4+2s^2+1)/(s^4+3s^3+8s^2+3s+7)

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expand (s+(s^2+1)^2)/((s^2+1)(s^2+3s+7))

expand

\frac{s + ( s ^{2} + 1 ) ^{2}}{( s ^{2} + 1 ) ( s ^{2} + 3 s + 7 )}

\frac{s + s ^{4} + 2 s ^{2} + 1}{s ^{4} + 3 s ^{3} + 8 s ^{2} + 3 s + 7}

Solution steps

\frac{s + ( s ^{2} + 1 ) ^{2}}{( s ^{2} + 1 ) ( s ^{2} + 3 s + 7 )}

Expand

(s^{2} + 1) (s^{2} + 3 s + 7) : s^{4} + 3 s^{3} + 8 s^{2} + 3 s + 7

= \frac{s + ( s ^{2} + 1 ) ^{2}}{s ^{4} + 3 s ^{3} + 8 s ^{2} + 3 s + 7}

Expand

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

= \frac{s + s ^{4} + 2 s ^{2} + 1}{s ^{4} + 3 s ^{3} + 8 s ^{2} + 3 s + 7}

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

V (0, + V^{6}) y F (0, + V^{10})

10000 e^{0.84 (t - 1.55)^{2}}

\frac{( 4 n + 2 ) ( 2 n + 2 ) ( 4 n + 3 )}{9}

x^{(2)} ((x) d u + (u) d x)

What is expand (s+(s^2+1)^2)/((s^2+1)(s^2+3s+7)) ?
The solution to expand (s+(s^2+1)^2)/((s^2+1)(s^2+3s+7)) is (s+s^4+2s^2+1)/(s^4+3s^3+8s^2+3s+7)