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

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

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

expand

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

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

Solution steps

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

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

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

(53 - 82) \cdot (- 7)

(f (x) = 1, - 2 x \cdot g (x) = 2 x^{2} - 1) \cdot x

\frac{- 5 x ^{2} - 32 x + 80}{( x ^{2} - 5 x ) ^{2}}

\frac{d ^{2}}{d x ^{2}} ((y) (- 4 x + 9)^{2})

\frac{( ( x ^{2} - 2 ) ( x ^{2} + 2 ) )}{( 4 x ^{3} )}

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