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

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

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

expand

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

- \frac{2 x}{x ^{5} + 2 x ^{3} + x + x ^{4} + 2 x ^{2} + 1}

Solution steps

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

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

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

Expand

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

= - \frac{2 x}{x ^{5} + x ^{4} + 2 x ^{3} + 2 x ^{2} + x + 1}

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

\frac{x ^{2} e ^{x}}{( e ^{x} + 1 ) ^{2}}

\frac{\partial}{\partial x} ((y) (y - x))

\frac{\partial}{\partial a} ((x) (a x^{5} + b x + 3))

A (6, - 8) B (4, 2)

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