What is expand (4s+2s^2+8)/((s^2+4)(s+1)^2) ?

The solution to expand (4s+2s^2+8)/((s^2+4)(s+1)^2) is (4s+2s^2+8)/(s^4+2s^3+5s^2+8s+4)

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expand (4s+2s^2+8)/((s^2+4)(s+1)^2)

expand

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

\frac{4 s + 2 s ^{2} + 8}{s ^{4} + 2 s ^{3} + 5 s ^{2} + 8 s + 4}

Solution steps

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

(s + 1)^{2} = s^{2} + 2 s + 1

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

Expand

(s^{2} + 4) (s^{2} + 2 s + 1) : s^{4} + 2 s^{3} + 5 s^{2} + 8 s + 4

= \frac{4 s + 2 s ^{2} + 8}{s ^{4} + 2 s ^{3} + 5 s ^{2} + 8 s + 4}

\frac{6}{( s ^{'} + 7 s + 10 ) ( s ^{2} + 4 )}

(x + 1 - 2 i) (x + 1 + 2 i)

\frac{6 x ^{2} + 21 x + 11}{( x ^{2} + 3 ) ( x + 5 )}

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

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

What is expand (4s+2s^2+8)/((s^2+4)(s+1)^2) ?
The solution to expand (4s+2s^2+8)/((s^2+4)(s+1)^2) is (4s+2s^2+8)/(s^4+2s^3+5s^2+8s+4)