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

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

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

expand

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

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

Solution steps

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

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

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

(2 + i)^{5}

\frac{( 1 + j ^{3} ) ( 1 + j ^{7} )}{( 7 - j ^{9} ) ( 2 - j )}

(2 x + i)^{2}

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

\frac{s ^{2} + 6 s + 9}{( s - 1 ) ( s - 2 ) ( s + 4 )}

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