For any integer n > 1, if Al, A2, A3, ... , An, and B are any sets, then

(A1 -B) (A2 -B) ... (An -B) = (Al A2 A3 … An) -B.

I was able to prove for all sets A, B, and C, (A -B)(C -B)= (AC) - B, and for the above I know that's it's true based on the just mentioned proof but I am having a hard time actually proving it. What steps would I take? I am not looking for an answer just a push in the right direction. Thanks.