Consider the schema R = (A, B, C, D, E, G) and the set F of functional dependencies: AB CD B D DE B DEG AB AC DE R is not in BCNF for many reasons, one of which arises from the functional dependency AB CD. Explain why AB CD shows that R is not in BCNF and then use the BCNF decomposition algorithm starting with AB CD to generate a BCNF decomposition of R. Once that is done, determine whether your result is or is not dependency preserving, and explain your reasoning.