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

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

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

expand

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

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

Solution steps

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

Expand

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

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

\frac{1}{3} ((3 + \frac{y}{6})^{2} - 3^{2}) y

(x^{\frac{1}{3}} + y^{\frac{1}{3}})^{3}

\frac{cos ( \frac{π x}{2} ) ( 1 + x )}{1 - x}

\frac{n ^{2} ( n + 1 ) ^{2} ( 2 n ^{2} + 2 n - 1 )}{12}

\frac{x + 2}{( x + 4 ) ( x + 1 )}

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