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

The solution to expand (x^3)/((x^4+6)^5) is (x^3)/(x^{20)+30x^{16}+360x^{12}+2160x^8+6480x^4+7776}

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

expand

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

\frac{x ^{3}}{x ^{20} + 30 x ^{16} + 360 x ^{12} + 2160 x ^{8} + 6480 x ^{4} + 7776}

Solution steps

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

(x^{4} + 6)^{5} = x^{20} + 30 x^{16} + 360 x^{12} + 2160 x^{8} + 6480 x^{4} + 7776

= \frac{x ^{3}}{x ^{20} + 30 x ^{16} + 360 x ^{12} + 2160 x ^{8} + 6480 x ^{4} + 7776}

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

\frac{x ^{2} + 4 x - 96}{x ^{2} + 6 x - 72}

- \frac{5 ( n + 1 )}{2 n ^{3}}

(1 + 5 cos (t))^{2}

l im x \Rightarrow 4 (3 f (x) - g (x))

What is expand (x^3)/((x^4+6)^5) ?
The solution to expand (x^3)/((x^4+6)^5) is (x^3)/(x^{20)+30x^{16}+360x^{12}+2160x^8+6480x^4+7776}