# Elementary set theory: is it true that $(A \cup B) \cup C = (A \cup C) \cup (B \cup C)$

Sorry for the childish question. I know that

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

and that when we have only unions or intersections the brackets don't really matter, so I guess what I'm really asking is are $$A \cup B \cup C$$ and $$(A \cup B) \cup C = (A \cup C) \cup (B \cup C)$$ one and the same?