Someone explain the venn diagram for the logic equation A*(B+C)
$(B+C) = B\overline{C}+\overline{B}C + BC$ 

and A with that and you get: 

$A*(B+C) = A*(B\overline{C}+\overline{B}C + BC) = AB\overline{C}+A\overline{B}C + ABC$ 

Remember that OR is the union and AND is the intersection.