Produce a BCNF decomposition of this schema, listing both the relations and the corresponding set of functional dependencies for each of the relations in the decomposition. Show the full details of your work.

Consider the following database schema: R(A,B,C,D,E,F,G,H) with the set of functional dependencies {FA,ACE,EB,BGF,BED,BDHE,DH,CDA,AE,ADBE}