Factorize x + 2xy^2 - y - 2y^2.

To factorize the expression x + 2xy^2 - y - 2y^2, we can group the terms:

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

Therefore, the factorized form of the expression x + 2xy^2 - y - 2y^2 is (x - y) + 2y^2(x - 1).

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