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

The solution to expand (2s+4)/((s^2+4s+8)^2) is (2s+4)/(s^4+8s^3+32s^2+64s+64)

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

expand

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

\frac{2 s + 4}{s ^{4} + 8 s ^{3} + 32 s ^{2} + 64 s + 64}

Solution steps

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

(s^{2} + 4 s + 8)^{2} = s^{4} + 8 s^{3} + 32 s^{2} + 64 s + 64

= \frac{2 s + 4}{s ^{4} + 8 s ^{3} + 32 s ^{2} + 64 s + 64}

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

\frac{1}{101} + \frac{1250000000}{101 ( 9999 s + 12500000 )}

(1 - \frac{3}{4} x)^{4}

10 (11 + 3)

(3 + 3 i)^{4}

What is expand (2s+4)/((s^2+4s+8)^2) ?
The solution to expand (2s+4)/((s^2+4s+8)^2) is (2s+4)/(s^4+8s^3+32s^2+64s+64)