What is factor x^4+x^3y-xy^3-y^4 ?

The solution to factor x^4+x^3y-xy^3-y^4 is (x+y)(x-y)(x^2+xy+y^2)

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factor x^4+x^3y-xy^3-y^4

factor

x^{4} + x^{3} y - x y^{3} - y^{4}

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

Solution steps

x^{4} + x^{3} y - x y^{3} - y^{4}

= (x^{4} + x^{3} y) + (- x y^{3} - y^{4})

Factor out

x^{3}

from

x^{4} + x^{3} y : x^{3} (x + y)

Factor out

- y^{3}

from

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

= x^{3} (x + y) - y^{3} (x + y)

Factor out common term

x + y

= (x + y) (x^{3} - y^{3})

Factor

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

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

0 = - x^{2} + 12 x - 15

x^{2 - x - 6}

1 + 27 y^{3}

\frac{1}{2} + \frac{π}{2}

\frac{\frac{3}{3}}{\frac{5 π}{6}}

What is factor x^4+x^3y-xy^3-y^4 ?
The solution to factor x^4+x^3y-xy^3-y^4 is (x+y)(x-y)(x^2+xy+y^2)