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Prove that A∩(B∩Cc)=(A∩B)∩(A∩C)c . Is the equality A∪B∩Cc=(A∪B)∩(A∪C)c always true?

  1. Prove that A∩(B∩Cc)=(A∩B)∩(A∩C)c . Is the equality A∪B∩Cc=(A∪B)∩(A∪C)c always true?
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