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

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

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

expand

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

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

Solution steps

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

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

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

Expand

9 (- t^{2} + 9) : - 9 t^{2} + 81

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

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