What is expand (-7x^8+9)/((x^8+9)^2) ?

The solution to expand (-7x^8+9)/((x^8+9)^2) is (-7x^8+9)/(x^{16)+18x^8+81}

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expand (-7x^8+9)/((x^8+9)^2)

expand

\frac{- 7 x ^{8} + 9}{( x ^{8} + 9 ) ^{2}}

\frac{- 7 x ^{8} + 9}{x ^{16} + 18 x ^{8} + 81}

Solution steps

\frac{- 7 x ^{8} + 9}{( x ^{8} + 9 ) ^{2}}

(x^{8} + 9)^{2} = x^{16} + 18 x^{8} + 81

= \frac{- 7 x ^{8} + 9}{x ^{16} + 18 x ^{8} + 81}

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(e + c + f)^{2}

(3 x + \frac{\frac{7}{8}}{x})^{8}

(tan (2 x) - sec (2 x))^{3}

(m u cos (θ) + n u cos (θ) - m v)^{2}

What is expand (-7x^8+9)/((x^8+9)^2) ?
The solution to expand (-7x^8+9)/((x^8+9)^2) is (-7x^8+9)/(x^{16)+18x^8+81}