Answer
$ \frac{(x+1)(x-1)}{(x^2+1)^2}$
Work Step by Step
$\frac{x\cdot2x-(x^2+1)\cdot1}{(x^2+1)^2}=\frac{2x^2-x^2-1}{(x^2+1)^2}=\frac{x^2-1}{(x^2+1)^2}=\frac{(x+1)(x-1)}{(x^2+1)^2}$
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