What is factor x^3-y^3+xy-x^2y^2 ?

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

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factor x^3-y^3+xy-x^2y^2

factor

x^{3} - y^{3} + x y - x^{2} y^{2}

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

Solution steps

x^{3} - y^{3} + x y - x^{2} y^{2}

Group by common factors

= x^{3} - x^{2} y^{2} + x y - y^{3}

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

Factor out

x^{2}

from

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

Factor out

y

from

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

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

Factor out common term

x - y^{2}

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

2 7^{l o g_{3} (5)}

\frac{2 + 3}{6}

- 4 x^{2} - 16 x + 12

2^{x} + 2^{x - 1}

- \frac{3}{5} - \frac{5}{6}

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