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

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

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expand ([xy(3x^2-5y^2)-x^4+3y^4])/((x-y)2)

expand

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

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

Solution steps

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

Expand

(x - y) \cdot 2 : 2 x - 2 y

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

Expand

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

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

e^{x - 3} (x^{2} - 1)

\frac{1}{2} (x \frac{d y}{d y} + y)

3 e (e + 4)

\frac{( a + b ) ^{2}}{3}

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

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