What is expand (y^5-(x^2y^3))/((x^2+y^2)^2) ?

The solution to expand (y^5-(x^2y^3))/((x^2+y^2)^2) is (y^5-y^3x^2)/(x^4+2y^2x^2+y^4)

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expand (y^5-(x^2y^3))/((x^2+y^2)^2)

expand

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

\frac{y ^{5} - y ^{3} x ^{2}}{x ^{4} + 2 y ^{2} x ^{2} + y ^{4}}

Solution steps

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

Remove parentheses:

(a) = a

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

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

= \frac{y ^{5} - y ^{3} x ^{2}}{x ^{4} + 2 y ^{2} x ^{2} + y ^{4}}

\frac{4 e ^{x} ( - e ^{x} + 4 )}{( 4 + e ^{x} ) ^{3}}

- \frac{s ^{2} + 6}{( s ^{2} + 12 ) ( s ^{2} + 2 )}

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

\frac{y ^{5} - 9 y ^{2} + 26 y - 24}{( y ^{2} - 4 y ) ( 1 - y ^{2} )}

(- 3 + 3 i 3)^{4}

What is expand (y^5-(x^2y^3))/((x^2+y^2)^2) ?
The solution to expand (y^5-(x^2y^3))/((x^2+y^2)^2) is (y^5-y^3x^2)/(x^4+2y^2x^2+y^4)