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

The solution to expand (dx)/((x^2+1)^2) is (dx)/(x^4+2x^2+1)

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

expand

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

\frac{d x}{x ^{4} + 2 x ^{2} + 1}

Solution steps

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

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

= \frac{d x}{x ^{4} + 2 x ^{2} + 1}

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

3 ((x + 3) (x - 2) (x - 5))

(2 a b + 2 a c + a + b + 2 b c + c)^{2}

\frac{s + 4}{( s - 2 ) ( s + 1 )}

(3 - \frac{y}{3})^{2}

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