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## Main Question or Discussion Point

Hi, I have been trying for a very long time to prove the following set theory identity

(A union B) intersect (B union C) intersect (C union A) = (A intersect B) union (B intersect C) union (C intersect A).

I thought that I could simplify (A U B) intersect (B U C) intersect (C U A)

as [B U (A intersect C) ]intersect (C U A), but venn diagrams show that this is not correct.

Thanks

(A union B) intersect (B union C) intersect (C union A) = (A intersect B) union (B intersect C) union (C intersect A).

I thought that I could simplify (A U B) intersect (B U C) intersect (C U A)

as [B U (A intersect C) ]intersect (C U A), but venn diagrams show that this is not correct.

Thanks