Let A, B, and C be sets. To show that A (B C) = (B C) A, we can use the distributive property of intersection over union. The distributive property states that for any sets A, B, and C, A(B ∪ C) = (A ∩ B) ∪ (A ∩ C). Applying this to the left side of the equation A (B C) and distributing A over the union of B and C yields (A ∩ B) ∪ (A ∩ C), which is the same as the right side (B C) A.