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

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

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

expand

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

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

Solution steps

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

Expand

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

= \frac{y ( y ^{2} + 2 x ^{2} )}{2 x ^{3} + 2 y ^{2} x}

Expand

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

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

\frac{( 2 ( 6 - 2 x ) ^{3} )}{27}

\frac{6 s ^{2} + 5}{s ( 2 s ^{2} + 4 s + 1 )}

\frac{2}{3} (x - 5)^{\frac{3}{2}}

\frac{( 3 x + 5 y ) ^{2}}{2}

\frac{1.25}{( 20 x + 1 ) ( 10 x + 1 )}

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