Answer:
(x - y - 1)(x^2 + xy + y^2).
Step-by-step 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).