Answer
(A∩B)U(A∩C)= {g,h}
Work Step by Step
U={a,b,c,d,e,f,g,h}
A={a,g,h}
B={b,g,h}
C={b,c,d,e,f}
To find (A∩B)U(A∩C), we need to find (A∩B) and (A∩C).
A∩B={a,g,h}∩{b,g,h}={g,h}
(List of common elements of A and B)
A∩C={a,g,h}∩{b,c,d,e,f}={ }
(List of common elements of A and C)
(A∩B)U(A∩C)={g,h} U { } = {g,h}
(All the elements of (A∩B) and the elements of (A∩C) which are not there in (A∩B))
