What is expand (8(s+2))/(s^2(s+2)^2-16) ?

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

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expand (8(s+2))/(s^2(s+2)^2-16)

expand

\frac{8 ( s + 2 )}{s ^{2} ( s + 2 ) ^{2} - 16}

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

Solution steps

\frac{8 ( s + 2 )}{s ^{2} ( s + 2 ) ^{2} - 16}

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

= \frac{8 ( s + 2 )}{s ^{2} ( s ^{2} + 4 s + 4 ) - 16}

Expand

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

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

Expand

8 (s + 2) : 8 s + 16

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

x ln (x) - y ln (y) - (x - y) ln (x - y)

\frac{3 x ( 10 x + 40 )}{x + 10}

\frac{2 ( 3 6 - 4 )}{3}

cos^{2} (\frac{7 π}{15}) (x^{2} + y^{2} + z^{2}) - z^{2}

\frac{2}{55 ( x + 165 )}

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