Question

Prove A n (B-C)=(A n B) - (A n C)

Answer 1

Answer:

As we know that

A−B=A∩B′

And also (A∩B)′=A′∪B′,A∩(B∪C)=(A∩B)∪(A∩C)

A−(B∩C)=A∩(B∩C)′=A∩(B′∪C′)=(A∩B′)∪(A∩C′)=(A−B)∪(A−C)