My teatcher wasn't able to explain this for me in a clear way. See if you guys can help.

Let A and B be two random sets. Prove that A \times" alt="\times" /> B (B \cap" alt="\cap" /> C) = (A \times" alt="\times" /> B) \cap" alt="\cap" /> (A \cap" alt="\cap" /> C) by putting in the element (x,y)