What is factor x*y^5-x^5*y ?

The solution to factor x*y^5-x^5*y is xy(y^2+x^2)(y+x)(y-x)

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factor xy^5-x^5y

factor

x \cdot y^{5} - x^{5} \cdot y

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

Solution steps

x y^{5} - x^{5} y

Factor out common term

x y : x y (y^{4} - x^{4})

= x y (y^{4} - x^{4})

Factor

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

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

3 x \cdot y^{2} - 9 x^{2} \cdot y

39 x y \cdot z^{2} - 13 x^{2} \cdot y^{2} \cdot z^{2} + 65 x^{3} \cdot y^{3} \cdot z

\frac{( ( a - b ) ^{2} + ( b - c ) ^{2} + ( a - c ) ^{2} )}{12}

\frac{4 ( x - 6 ) ^{2}}{( x - 6 )}

- 3 (20 + (- 29) d)

What is factor x*y^5-x^5*y ?
The solution to factor x*y^5-x^5*y is xy(y^2+x^2)(y+x)(y-x)