yes
* * * * *
No, it isn't.
2xy = 2 times x times y.
Depending on which you mean:
2x2y = 2 times x times 2 times y = 4xy;
OR
2x2y = 2 times x times x times y.
Since 2xy is a factor of 2x2y, it is automatically the GCF.
(2xy)x=2x2y
2xy
The possibilities are infinite. One set: 1. 2xy 2. 2x2y 3. 2x4y
Not sure. There is no particular name for x2 and 2xy (both include x) in x2 + 2xy + y2 + y3
2xy
2x2y
2x2y
2xy + 6xy = 8xy
(x + 4y)(x - 6y)
2x2y
2x2y