Is it true that (A×A)∖(B×B)=(A∖B)×(A∖B) for any two sets A, B? If it is true, prove it. Otherwise, find a counterexample. Note: This question is about sets. The "\" sign is the difference of the 2 sets and (AxA) is the cartesian product of A and B.  Is it true that (A cartesian product A) difference of (B cartesian product B) = (A difference B) cartesian product (A difference B) for any 2 sets A, B? If it is true, prove it. Otherwise, find a counterexample.

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