Question

if a,b and c are three set then prove that A*(buc)= (A*B) U (a*c)

Answer 1

hey ..here is ur answer

Consider that the ordered pair (x,y) is an element of A X (B U C)
which is true iff x is an element of A and y is an element on (B U C)
iff x is an element of A and y is an element of B or y is an element of C
iff x is in A and y is in B or x is in A and y is in C
iff (x,y) is in A X B or (x,y) is in A X C
iff (x,y) is in (A X B) U (A X C)

thus A X (B U C) = (A X B) U (A X C)