(2 + y) (x + 3)
First, let's group the terms with common factors:
(2x + xy) + (6 + 3y)
Next, let's factor out the common factors in each group:
x(2 + y) + 3(2 + y)
Now, we can see that both terms have a common factor of (2 + y). So, we can factor it out:
(2 + y)(x + 3)
Therefore, the expression 2x + xy + 6 + 3y can be factorized as (2 + y)(x + 3).