Answer
A'∩(BUC)
Work Step by Step
From the given Venn diagram,
Our required regions are III, VI, VII.
Now we know that set BUC represents the regions II, III, IV, V, VI, VII.
Set A' represents the regions III, VI, VII, VIII.
The common portions for A' and (BUC) represent the regions III, VI, VII, which is our required region. A'∩(BUC).
Therefore the answer is A'∩(BUC).