What is expand 6/((s-2)^2(s^2+4)) ?

The solution to expand 6/((s-2)^2(s^2+4)) is 6/(s^4+8s^2-4s^3-16s+16)

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expand 6/((s-2)^2(s^2+4))

expand

\frac{6}{( s - 2 ) ^{2} ( s ^{2} + 4 )}

\frac{6}{s ^{4} + 8 s ^{2} - 4 s ^{3} - 16 s + 16}

Solution steps

\frac{6}{( s - 2 ) ^{2} ( s ^{2} + 4 )}

(s - 2)^{2} = s^{2} - 4 s + 4

= \frac{6}{( s ^{2} - 4 s + 4 ) ( s ^{2} + 4 )}

Expand

(s^{2} - 4 s + 4) (s^{2} + 4) : s^{4} + 8 s^{2} - 4 s^{3} - 16 s + 16

= \frac{6}{s ^{4} + 8 s ^{2} - 4 s ^{3} - 16 s + 16}

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

\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)

What is expand 6/((s-2)^2(s^2+4)) ?
The solution to expand 6/((s-2)^2(s^2+4)) is 6/(s^4+8s^2-4s^3-16s+16)