Question

Solve that AU(BnC)=(AUB)n(AUC)

Answer 1

I proved this with the help of Venn-Diagram

Hope this was helpful

Answer 2

Since, A∪B = The total region Covered by both set A and set B

And, A∩B = The common region bounded by set A and set B.

With help of this, we can make the diagram,

By the below diagram 1 ,

= The total region of A and B∩C

And, by the diagram 2,

= The total region of A and B∩C

Thus, AU(B∩C) = (A∪B) ∩ (A∪C)

Hence, proved.