Question

factorise the given expression by regrouping the terms y^2 - x^3 - xy +x^2y​

Answer 1

Answer:

(i)x 2 +xy(1+y)+y 3 =x 2 +xy+xy 2 +y 3= x(x+y)+y 2 (x+y)=(x+y)(x+y 2 )

(ii)y 2 −xy(1−x)−x 3=y 2 −xy+x 2 y−x 3=y(y−x)+x 2 (y−x)

=(y−x)(y+x 2 )