What is expand (18s-9(s^2+9))/((s^2+9)^2) ?

The solution to expand (18s-9(s^2+9))/((s^2+9)^2) is (18s-9s^2-81)/(s^4+18s^2+81)

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expand (18s-9(s^2+9))/((s^2+9)^2)

expand

\frac{18 s - 9 ( s ^{2} + 9 )}{( s ^{2} + 9 ) ^{2}}

\frac{18 s - 9 s ^{2} - 81}{s ^{4} + 18 s ^{2} + 81}

Solution steps

\frac{18 s - 9 ( s ^{2} + 9 )}{( s ^{2} + 9 ) ^{2}}

(s^{2} + 9)^{2} = s^{4} + 18 s^{2} + 81

= \frac{18 s - 9 ( s ^{2} + 9 )}{s ^{4} + 18 s ^{2} + 81}

Expand

18 s - 9 (s^{2} + 9) : 18 s - 9 s^{2} - 81

= \frac{18 s - 9 s ^{2} - 81}{s ^{4} + 18 s ^{2} + 81}

(n (n - 1) + m (m - 1) + nm) \cdot (n + m - 2)!

- \frac{d}{d s} (\frac{12 ( s + 7 )}{( s ^{2} - 14 s + 13 ) ^{2}})

\frac{1}{s ( s + 2 ) ( s + 3 )}

\frac{5 ( 5 - j x )}{10 - j x}

\frac{1}{( x ^{2} - 2 x - 5 ) ^{4}}

What is expand (18s-9(s^2+9))/((s^2+9)^2) ?
The solution to expand (18s-9(s^2+9))/((s^2+9)^2) is (18s-9s^2-81)/(s^4+18s^2+81)