Reasoning (or Dicta)

If the holding usually takes a few lines, aside from the summary of the facts, the reasoning makes up the largest party of any opinion.

Reasoning consists of the reasons a judge used in reaching their holding, in deciding the particular controversy in a certain way.

In the example provided by Brown, you would have to summarize the reasons, the explanation the U.S. Supreme Court gave in its opinion, holding that segregated education violates the plaintiffs’ 14th Amendment rights.