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

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

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

expand

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

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

Solution steps

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

Expand

x^{3} (y + x) (x - y) : x^{5} - y^{2} x^{3}

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

Expand

y^{3} (- y^{2} - x^{2}) : - y^{5} - y^{3} x^{2}

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

(t^{2}) (1 + e^{t})

\frac{y ^{2} ( 8 y ^{\frac{3}{2}} - y ^{3} )}{24}

\frac{( ( x - 25 ) ( x - 30 ) ( x - 35 ) )}{750}

(e^{x + y} + y e^{y}) + (x e^{y} - 1) \frac{d y}{d x}

\frac{( ( 3 x - 4 ) ^{3} )}{( 2 x + 7 ) ^{2}}

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