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

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

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expand (2y^5x-3y^3x^2-yx^4)/((x^2+y^2)^2)

expand

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

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

Solution steps

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

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

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

\frac{1}{( s + 2 ) ( s + 3 )}

\frac{d}{d z} ((w) (3 z^{7} - 7 z^{3} + 21 z^{2}))

e^{x (x - 9)}

\frac{- 8 x sin ( x ) - 8 cos ( x )}{( cos ( x ) + 4 x ) ^{2}}

(1 + x)^{4} \cdot e^{x}

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