Question: Let A, B U. Prove that (a) (A B) (B A) = (A B) (A B); and (b)

Let A, B ⊂ °U. Prove that
(a) (A × B) ∩ (B × A) = (A ∩ B) × (A ∩ B); and
(b) (A × B) ∪ (B ∪ A) ⊂ (A ∪ B) × (A ∪ B).

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