What is expand (-x^2+18x+64)/((x^2+64)^2) ?

The solution to expand (-x^2+18x+64)/((x^2+64)^2) is (-x^2+18x+64)/(x^4+128x^2+4096)

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expand (-x^2+18x+64)/((x^2+64)^2)

expand

\frac{- x ^{2} + 18 x + 64}{( x ^{2} + 64 ) ^{2}}

\frac{- x ^{2} + 18 x + 64}{x ^{4} + 128 x ^{2} + 4096}

Solution steps

\frac{- x ^{2} + 18 x + 64}{( x ^{2} + 64 ) ^{2}}

(x^{2} + 64)^{2} = x^{4} + 128 x^{2} + 4096

= \frac{- x ^{2} + 18 x + 64}{x ^{4} + 128 x ^{2} + 4096}

((4 t - t^{2}), (4 - t)^{2}) (- 1, 4 - 2 t)

\frac{3 e ^{- 2 s}}{( s + 2 ) ( s + 3 )}

(8 tan (x) + 8 cos (x) + 8 csc (x))^{2}

x \cdot (8 - 2 ln (x))

\frac{( 2 + x ) ^{2}}{3} - \frac{17}{4} x

What is expand (-x^2+18x+64)/((x^2+64)^2) ?
The solution to expand (-x^2+18x+64)/((x^2+64)^2) is (-x^2+18x+64)/(x^4+128x^2+4096)