a problem on the algebra of sets trying to prove that $A \cup ( A \cap B) = A $ for any set $A,B$. 
I am trying to use distributive law for sets, but keep coming to the same form. Is there a way to prove this ? 

It is clear that $A‎‎\subseteq A \cup ( A \cap B)  $, on the other hand $‎‎A\subseteq A$ and $A \cap B\subseteq A$ thus $A \cup ( A \cap B)\subseteq A $
