Question

factorise... x^3-x^2y-xy^2+y^3

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)^2 - (y)^2]

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

Answer 2

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)^2 - (y)^2]

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