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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{2 ( x + 3 )}{x}

\frac{d}{d x} ((x - 1) tan (x)) + x sin (x)

\frac{s ( 1 - e ^{- 2 π s} )}{s ^{2} + 4}

\frac{sin ( z )}{z ^{2} \cdot ( z - 4 )}

e^{x} (e^{y} + 2 y e^{- x})

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