Let A and B be subsets of a universal set U. Simplify each of the following expressions.
(a) (A ∪ B) ∪ (U\A)
(b) (A ∩ B) ∩ (U\A)
(c) A ∩ [B ∪ (U\A)]
(d) A ∪ [B ∩ (U\A)]
(e) (A ∪ B) ∩ [A ∪(U\B)]
(f) (A ∩ B) ∪ [A ∩ (U\B)]
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