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

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

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expand (-x^2y+y^3)/((x^2+y^2)^2)

expand

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

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

Solution steps

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

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

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

\frac{2 ( 1.6 s ^{2} + 10 s + 33111258.278 )}{s ^{2}}

cos^{3} (x) sin (x) + \frac{3}{8} (x - \frac{1}{4} sin (4 x))

\frac{( 3 x - 2 ) ( 4 x - 3 )}{( x - 5 ) ( x - 1 )}

r^{2} + (a + \frac{4}{a}) r + (0.5 \cdot a^{2} - 2)

(x - 2) x - 2

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