What is expand-(2(2x^2+1))/(x^3(x^2+1)^2) ?

The solution to expand-(2(2x^2+1))/(x^3(x^2+1)^2) is -(4x^2+2)/(x^7+2x^5+x^3)

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expand-(2(2x^2+1))/(x^3(x^2+1)^2)

expand

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

- \frac{4 x ^{2} + 2}{x ^{7} + 2 x ^{5} + x ^{3}}

Solution steps

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

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

= - \frac{2 ( 2 x ^{2} + 1 )}{x ^{3} ( x ^{4} + 2 x ^{2} + 1 )}

Expand

x^{3} (x^{4} + 2 x^{2} + 1) : x^{7} + 2 x^{5} + x^{3}

= - \frac{2 ( 2 x ^{2} + 1 )}{x ^{7} + 2 x ^{5} + x ^{3}}

Expand

2 (2 x^{2} + 1) : 4 x^{2} + 2

= - \frac{4 x ^{2} + 2}{x ^{7} + 2 x ^{5} + x ^{3}}

\frac{3 x - 7 x}{8 x ^{2}} + \frac{6 x ^{2} + 2 x}{8 x ^{2}}

2 (4 ln (2) + 4)

(x - y^{3} + y^{2} sin (x)) d y

lo g_{10} (\frac{2 x}{y})

\frac{sin ( 0 )}{5} + \frac{cos ( 0 )}{2}

What is expand-(2(2x^2+1))/(x^3(x^2+1)^2) ?
The solution to expand-(2(2x^2+1))/(x^3(x^2+1)^2) is -(4x^2+2)/(x^7+2x^5+x^3)