Simplify the following using the set rules of interference.

$\displaystyle

[((A - B) \cup (A \cap C)) \cap (A \cap B)^C]^C

$

where A, B, and C are subsets of the Universe.

I've gotten it to $\displaystyle (A^C \cup (B \cap C^C)) \cup (A \cap B)$, but now I'm stuck.

Could anyone please help out?

Thanks!