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

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

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expand (-x^2+9)/((x^2+9)^2)

expand

\frac{- x ^{2} + 9}{( x ^{2} + 9 ) ^{2}}

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

Solution steps

\frac{- x ^{2} + 9}{( x ^{2} + 9 ) ^{2}}

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

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

(x - 1) (x - \frac{3}{2})

(sec (x) + tan (x)) (sin (x) - 1)

(5 - 4 i)^{4}

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

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