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(C U D) = {5,6}
LHS = B * (CUD)
= {(1,5), (2,5), (3,5), (4,5), (1,6),(2,6), (3,6), (4,6) }
RHS = (B*C) U (B*D)
= { (1,5), (2,5), (3,5), (4,5), (1,6), (2,6), (3,6), (46) } U { (1,5), (1,6), (1,7), (1,8), (2,5), (2,6), (2,7), (2,8), (3,5), (3,6), (3,7), (3,8), (4,5), (4,6), (4,7), (4,8) }
= { (1,5), (2,5), (3,5), (4,5), (1,6), (2,6), (3,6), (4,6)}
therefore, LHS = RHS
hence verified.
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