What is expand (-x^6+256x^3-192x^2)/((x^4-64)^2) ?

The solution to expand (-x^6+256x^3-192x^2)/((x^4-64)^2) is (-x^6+256x^3-192x^2)/(x^8-128x^4+4096)

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expand (-x^6+256x^3-192x^2)/((x^4-64)^2)

expand

\frac{- x ^{6} + 256 x ^{3} - 192 x ^{2}}{( x ^{4} - 64 ) ^{2}}

\frac{- x ^{6} + 256 x ^{3} - 192 x ^{2}}{x ^{8} - 128 x ^{4} + 4096}

Solution steps

\frac{- x ^{6} + 256 x ^{3} - 192 x ^{2}}{( x ^{4} - 64 ) ^{2}}

(x^{4} - 64)^{2} = x^{8} - 128 x^{4} + 4096

= \frac{- x ^{6} + 256 x ^{3} - 192 x ^{2}}{x ^{8} - 128 x ^{4} + 4096}

- 5 y (y + 10)

\frac{sin ( x ) - 1}{( sin ( x ) ( 1 - cos ( x ) ) )}

(t - 2) (t + 2)

\frac{x ^{2} - 2 x - 1}{( x - 1 ) ^{2} ( x ^{2} + 1 )}

9 (- 7 x + 9 y = - 25)

What is expand (-x^6+256x^3-192x^2)/((x^4-64)^2) ?
The solution to expand (-x^6+256x^3-192x^2)/((x^4-64)^2) is (-x^6+256x^3-192x^2)/(x^8-128x^4+4096)