2ab+2ay+bx+xy
Group the first two terms and the last two terms.
(2ab+2ay)+bx+xy
Factor out the greatest common factor (GCF) from each group.
2a(b+y)+x(b+y)
2a(b+y)+x(b+y)
Factor the polynomial by factoring out the greatest common factor, b+y.
(b+y)(2a+x)
Factor by Grouping 2ab+2ay+bx+xy