write the De Mogan's laws for set difference.
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Apply the set difference law: LHS=(A∩(A∩B)c)∪((A∩B)∩Ac). By De Morgan's law, (A∩B)c=Ac∪Bc. (A∩B)∩Ac=Ac∩(A∩B)=(Ac∩A)∩B.
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