Math Questions, pls help?

Urgent! pls help solve this math problems


Prove, without using Venn diagrams, that


(a) A ∩(B U C) = (A ∩B) U (A ∩C) and


(b) A U (B ∩ C) = (A U B) ∩( A U C),


for all sets A,B,C.

Math Questions, pls help?
A ^ (B ∨ C)


= A ^ B ∨ A ^ C (Distributive law, Associative? I forget the exact law)


= (A ^ B) ∨ (A ^ C) (Associative/Distributive?)


= (A ∩ B) U (A ∩ C)





A ∨ (B ^ C)


= A ∨ B ^ A ∨ C


= (A U B) ∩ (A UC)








^ =%26gt; and


∨ =%26gt; or





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