What is expand (4x)/((x^2-3)^5) ?

The solution to expand (4x)/((x^2-3)^5) is (4x)/(x^{10)-15x^8+90x^6-270x^4+405x^2-243}

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expand (4x)/((x^2-3)^5)

expand

\frac{4 x}{( x ^{2} - 3 ) ^{5}}

\frac{4 x}{x ^{10} - 15 x ^{8} + 90 x ^{6} - 270 x ^{4} + 405 x ^{2} - 243}

Solution steps

\frac{4 x}{( x ^{2} - 3 ) ^{5}}

(x^{2} - 3)^{5} = x^{10} - 15 x^{8} + 90 x^{6} - 270 x^{4} + 405 x^{2} - 243

= \frac{4 x}{x ^{10} - 15 x ^{8} + 90 x ^{6} - 270 x ^{4} + 405 x ^{2} - 243}

\frac{ab ( a - b ) - 2 a + 2 b}{a ^{2} - 2 a}

\frac{7 x ^{2} y}{6 ( x ^{2} + y ^{2} )}

\frac{1}{S ^{2} ( S ^{2} - 1 )}

(8 + 4 x) (3 x)^{'}

e^{2 w (t + a)}

What is expand (4x)/((x^2-3)^5) ?
The solution to expand (4x)/((x^2-3)^5) is (4x)/(x^{10)-15x^8+90x^6-270x^4+405x^2-243}