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