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

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

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

expand

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

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

Solution steps

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

Expand

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

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

\frac{n + 2}{2 ( n + 1 )}

\frac{d}{d x} ((z) (2 x^{2} y + 3 x z + 5 y z^{2} - 10))

(sin (x) + 1) (- sin (x))

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

e^{θ} (tan (θ) - θ)

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