If not, then how do I make it BCNF while being lossless and dependency preserving?
I can see that the primary key of R is AB. And in BCNF every functional dependency should be of the form [Key] -> [Key or Non-key]. But C->B doesn't satisfy that.
I know I will lose the AB->C dependency if I do any decomposition. But I am unable to figure out which decomposition would be lossless. I would be grateful if someone could help me out.