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

Factor out

x^{2}

from

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

Factor out

y^{2}

from

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

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

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

∣ - 73 ∣

(lo g_{2} (x))^{2}

- 3 \times (- 5)

(x + 3 y) (x - 2 y)

(2 - 3 i) - i (1 - 2 i)

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)