What is expand 4/((x^3+9)^5) ?

The solution to expand 4/((x^3+9)^5) is 4/(x^{15)+45x^{12}+810x^9+7290x^6+32805x^3+59049}

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expand 4/((x^3+9)^5)

expand

\frac{4}{( x ^{3} + 9 ) ^{5}}

\frac{4}{x ^{15} + 45 x ^{12} + 810 x ^{9} + 7290 x ^{6} + 32805 x ^{3} + 59049}

Solution steps

\frac{4}{( x ^{3} + 9 ) ^{5}}

(x^{3} + 9)^{5} = x^{15} + 45 x^{12} + 810 x^{9} + 7290 x^{6} + 32805 x^{3} + 59049

= \frac{4}{x ^{15} + 45 x ^{12} + 810 x ^{9} + 7290 x ^{6} + 32805 x ^{3} + 59049}

\frac{3 ( 11 - 57 )}{4000}

2 (x + 3 = 0)

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

\frac{( - 2 x - 1 ) ( x + 3 )}{x ( 2 x - 1 )}

u (- 3, 1, - 1) + v (- 4, 5, 0)

What is expand 4/((x^3+9)^5) ?
The solution to expand 4/((x^3+9)^5) is 4/(x^{15)+45x^{12}+810x^9+7290x^6+32805x^3+59049}