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

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

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expand (x^{1/2})/((x^2+1)^2)

expand

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

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

Solution steps

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

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

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

\frac{x}{( x ^{2} + 9 )}

x (x + 4)^{8}

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

ln^{5} (x^{2})

\frac{x ^{3}}{x ^{2}}

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