What is expand (768)/((s^2+6s+25)^2) ?

The solution to expand (768)/((s^2+6s+25)^2) is (768)/(s^4+12s^3+86s^2+300s+625)

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expand (768)/((s^2+6s+25)^2)

expand

\frac{768}{( s ^{2} + 6 s + 25 ) ^{2}}

\frac{768}{s ^{4} + 12 s ^{3} + 86 s ^{2} + 300 s + 625}

Solution steps

\frac{768}{( s ^{2} + 6 s + 25 ) ^{2}}

(s^{2} + 6 s + 25)^{2} = s^{4} + 12 s^{3} + 86 s^{2} + 300 s + 625

= \frac{768}{s ^{4} + 12 s ^{3} + 86 s ^{2} + 300 s + 625}

\frac{2 s - 7}{( s - 4 ) ( s + 6 )}

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

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What is expand (768)/((s^2+6s+25)^2) ?
The solution to expand (768)/((s^2+6s+25)^2) is (768)/(s^4+12s^3+86s^2+300s+625)