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

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

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

factor

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

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

Solution steps

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})

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)

5 (3 c - 1) - 6 = 10 c + 9

5 x - 2 = 0

p, \frac{p}{q + r} = t

∣ x + 5 ∣ \geq 2

∣ x - 4 ∣ = ∣ 5 - 2 x ∣

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