What is expand (x^4+y^4)/(xy(y^2+x^2)) ?

The solution to expand (x^4+y^4)/(xy(y^2+x^2)) is (x^4+y^4)/(xy^3+x^3y)

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expand (x^4+y^4)/(xy(y^2+x^2))

expand

\frac{x ^{4} + y ^{4}}{x y ( y ^{2} + x ^{2} )}

\frac{x ^{4} + y ^{4}}{x y ^{3} + x ^{3} y}

Solution steps

\frac{x ^{4} + y ^{4}}{x y ( y ^{2} + x ^{2} )}

Expand

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

= \frac{x ^{4} + y ^{4}}{x y ^{3} + x ^{3} y}

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

\frac{e ^{(- 2 + i) t} + e ^{(- 2 - i) t}}{2}

\frac{( 2 + s ^{5} - s ^{4} + 2 s ^{3} )}{s ^{4} ( s ^{2} - s + 2 )}

\frac{x ( 4 - x )}{2}

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

What is expand (x^4+y^4)/(xy(y^2+x^2)) ?
The solution to expand (x^4+y^4)/(xy(y^2+x^2)) is (x^4+y^4)/(xy^3+x^3y)