One of the following distributive laws for sets is true. Which one is and what is the proof?

A$\displaystyle \cap$(B$\displaystyle \oplus$C)=(A$\displaystyle \cap$B)$\displaystyle \oplus$(A$\displaystyle \cap$C)

A$\displaystyle \cup$(B$\displaystyle \oplus$C)=(A$\displaystyle \cup$B)$\displaystyle \oplus$(A$\displaystyle \cup$C)