Question

Factorize
x^3-y^3-x^2-xy-y^2

Answer 1

(x - y - 1)(x^2 + xy + y^2).

Explanation:

x^3- y^3 - x^2 - xy - y^2

= (x - y)(x^2 + xy + y^2) - 1(x^2 + xy + y^2)

x^2 + xy + y^2 is common to the 2 parts so we have:

(x - y - 1)(x^2 + xy + y^2) (Answer).