In the given reaction, benzene reacts with Br\(_2\) in the presence of FeBr\(_3\) to form 1,4-dibromobenzene and 1,2-dibromobenzene. This is an example of an electrophilic substitution reaction, where the electrophile (Br\(^+\)) is generated in the presence of FeBr\(_3\), a Lewis acid catalyst. The bromine atoms replace hydrogen atoms on the benzene ring, maintaining the aromaticity of the compound.
Electrophilic substitution is a typical mechanism for reactions involving aromatic compounds like benzene.