My first question is whether
1) The students who were well-organized passed the exam
2) [reduced adjective clause] The students, being well-organized, passed the exam.
If yes, my second question is whether the commas (i.e. ", being well-organized ," ) are compulsory in no. 2 (Will it be grammatically wrong if I dont use the commas in no. 2) ?
I understand that a defining clause is used in no. 1) and hence no comma there; but I wonder why the commas are required in its reduced adjective clause construction?