Question

factorise by regrouping y²-x³-xy+ x²y​

Answer 1

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)