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

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

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

factor

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

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

Solution steps

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

Group by common factors

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

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

Factor out

x^{2}

from

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

Factor out

y^{2}

from

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

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

Factor out common term

x - y

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

\frac{3}{2} x - 1 > 8 x - \frac{7}{6}

1 - \frac{1}{36}

- 2 (z - 1) \leq 18

x^{2} - 14 x - 12 = 0

5 x^{2} + 12 x \leq 9

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