Answer: (x + 2)(3 + y)
Explanation:
To factor this expression by grouping, we will break the terms into groups. We must end up with two groups of the same term being multiped by something different. You will see below.
Given:
3x + 6 + xy + 2y
Regroup:
3(x + 2) + y(x + 2)
Factored:
(x + 2)(3 + y)
You can see we end up with (x + 2) multiplied by both 3 and y in the middle step, this is exactly what we needed.