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

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

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

expand

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

\frac{1 + 2 x + x ^{2}}{x + x ^{3}}

Solution steps

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

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

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

Expand

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

= \frac{1 + 2 x + x ^{2}}{x + x ^{3}}

\frac{y ( 25 y - 32 ) ^{2}}{1012}

(y cos (x) + 2 x e^{y}) + (sin (x) + x^{2} e^{y - 1}) y^{'} (x)

\frac{a ^{2} + b ^{2}}{( 3 ) ( a ^{2} + 4 + b ^{2} )}

\frac{x ( x - 1 )}{( x + 6 ) ( x - 5 )}

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

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