$A \cap (B \Delta C) = (A \cap B) \Delta (A \cap C)$

$(A \setminus B) \setminus C = A \setminus (B \cup C)$

$A \Delta B = (A \cup B) \setminus (A \cap B)$

$A \cup (B \cap C)' = (A \cup B)' \cap (A \cup C)'$