Question

x^3-x^2 y-xy^2+y^3 find factors​

Answer 1

Answer:

(x−y)^ 2(x+y)

Step-by-step explanation:

x ^3 −x ^2 y−xy ^2 +y ^3

⇒ x ^2 (x−y)−y ^2 (x−y)

⇒ (x−y)(x ^2−y ^2)

⇒ (x−y)(x+y)(x−y)

⇒ (x−y)^ 2(x+y)

Answer 2

Answer :

( x-y)² ( x+y)

Explaination :

x³ - x²y - xy² + y³

= x²(x-y) - y² (x-y)

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

= ( x-y)² ( x+y)