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

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

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

factor

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

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

Solution steps

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

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

Factor out

x

from

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

Factor out

y

from

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

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

Factor out common term

x^{2} - y^{2}

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

Factor

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

= (x + y) (x - y) (x + y)

Apply exponent rule:

aa = a^{2}

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

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

\frac{8 x y}{( \frac{2 x}{3} \cdot \frac{2 x}{5 y} )}

- 3 (x - 4) = - 3

13 + 5 x \leq 30

x < 4 or x \geq - 1

2^{- \frac{2}{3}}

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