Please help me I have no idea on this one, I just get stuck after one step. Show that $\displaystyle (A -B) \cup (B-A) = (A \cup B) - (A \cap B)$ using (a) the element method and (b) set algebra.

So far I expanded this to $\displaystyle (A \cap B^c) \cup (B \cap A^c) = (A \cup B) \cap (A \cap B)^c$ by alternate representation of set difference, but then I'm stuck! Can anyone else solve it? Is it even possible?