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

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

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

expand

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

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

Solution steps

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

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

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

Expand

y^{2} (- x^{2} + y^{2}) : - y^{2} x^{2} + y^{4}

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

23 (y - \frac{3}{5})

\frac{( 7 + e ^{t} )}{( s - 1 ) ^{2}}

\frac{3 ( - 2 x ^{2} + 24 x )}{( 5 x ^{2} - 2 x + 12 ) ^{2}}

(t - \frac{1}{4}) (t - \frac{1}{2})

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