Answer
AU(B∩C)={a,b,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 AU(B∩C), we need to find (B∩C).
B∩C={b,g,h}∩{b,c,d,e,f}={b}
(List of all elements of B and the elements of C that are not in B)
AU(B∩C)={a,g,h} ∩ {b} = {a,b,g,h}
(All elements of A and elements of (B∩C) which are not there in A)