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

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

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

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

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

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

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

3 sin (\frac{π}{4} (x - 5)) + 5

\frac{\partial}{\partial x} ((z) (x^{3} z^{5} + sin (y^{7} z^{5}) + 6))

3 (3 d - 4 e) + 2 (d - 5 e)

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

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