What is expand (2x^5-4x^2-6x)/((x^2+1)^4) ?

The solution to expand (2x^5-4x^2-6x)/((x^2+1)^4) is (2x^5-4x^2-6x)/(x^8+4x^6+6x^4+4x^2+1)

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expand (2x^5-4x^2-6x)/((x^2+1)^4)

expand

\frac{2 x ^{5} - 4 x ^{2} - 6 x}{( x ^{2} + 1 ) ^{4}}

\frac{2 x ^{5} - 4 x ^{2} - 6 x}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1}

Solution steps

\frac{2 x ^{5} - 4 x ^{2} - 6 x}{( x ^{2} + 1 ) ^{4}}

(x^{2} + 1)^{4} = x^{8} + 4 x^{6} + 6 x^{4} + 4 x^{2} + 1

= \frac{2 x ^{5} - 4 x ^{2} - 6 x}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1}

\frac{7 s - 6}{( s + 2 ) ( s - 3 )}

3 (x + Δ x) y^{2}

(x - 5 - 3) (x - 5 + 3)

\frac{( x - 30 ) ^{2} ( 74.6 - x )}{24. 6 ^{2}}

What is expand (2x^5-4x^2-6x)/((x^2+1)^4) ?
The solution to expand (2x^5-4x^2-6x)/((x^2+1)^4) is (2x^5-4x^2-6x)/(x^8+4x^6+6x^4+4x^2+1)