This document is a PowerPoint presentation for a mathematics class discussing identities. It introduces the topic of identities, which are equalities between functions defined differently. As an example, it derives the identity (x-y)2 = x2 + y2 - 2xy, showing that the area of a large square minus a smaller inner square can be written as the sum of the individual areas minus their shared area. The presentation provides step-by-step working to arrive at this identity starting from geometric representations of the squares.