What is expand 1/((x^5+4x)^3-6) ?

The solution to expand 1/((x^5+4x)^3-6) is 1/(x^{15)+12x^{11}+48x^7+64x^3-6}

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expand 1/((x^5+4x)^3-6)

expand

\frac{1}{( x ^{5} + 4 x ) ^{3} - 6}

\frac{1}{x ^{15} + 12 x ^{11} + 48 x ^{7} + 64 x ^{3} - 6}

Solution steps

\frac{1}{( x ^{5} + 4 x ) ^{3} - 6}

Expand

(x^{5} + 4 x)^{3} - 6 : x^{15} + 12 x^{11} + 48 x^{7} + 64 x^{3} - 6

= \frac{1}{x ^{15} + 12 x ^{11} + 48 x ^{7} + 64 x ^{3} - 6}

\frac{- 10 - x ( x + 3 )}{- 15 - x ( x + 8 )}

\frac{2 ( 1 + 94 )}{3}

(9 y, - 4 x) (9 y, + 4 x)

\frac{17 + 129}{2}

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

What is expand 1/((x^5+4x)^3-6) ?
The solution to expand 1/((x^5+4x)^3-6) is 1/(x^{15)+12x^{11}+48x^7+64x^3-6}