Prove the following identities , for any sets A , B and C .

(a) (A u B) n ( B u C) N ( C u A )=( A n B ) u ( A n C ) u ( B n C )

(b) A n ( B - C) = ( A n B ) - ( A n C )

(c) ( A-B ) u B = A if and only if

Is there a way to prove all these besides illustrating them with a venn diagram or use examples .