What is factor x^7*y^7-xy ?

The solution to factor x^7*y^7-xy is xy(xy+1)(x^2y^2-xy+1)(xy-1)(x^2y^2+xy+1)

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factor x^7*y^7-xy

factor

x^{7} \cdot y^{7} - x y

x y (x y + 1) (x^{2} y^{2} - x y + 1) (x y - 1) (x^{2} y^{2} + x y + 1)

Solution steps

x^{7} y^{7} - x y

Factor out common term

x y : x y (x^{6} y^{6} - 1)

= x y (x^{6} y^{6} - 1)

Factor

x^{6} y^{6} - 1 : (x y + 1) (x^{2} y^{2} - x y + 1) (x y - 1) (x^{2} y^{2} + x y + 1)

= x y (x y + 1) (x^{2} y^{2} - x y + 1) (x y - 1) (x^{2} y^{2} + x y + 1)

\frac{( y ^{3} - y ^{2} + y + 3 )}{( y + 1 )}

(\frac{p}{3} - \frac{q}{4})^{3}

\frac{a ^{24}}{( a ^{4} ) 2}

\frac{( y ^{2} + 3 y + 2 )}{( y + 1 )}

- r^{2} + t^{2}

What is factor x^7*y^7-xy ?
The solution to factor x^7*y^7-xy is xy(xy+1)(x^2y^2-xy+1)(xy-1)(x^2y^2+xy+1)