Main Page | See live article | Alphabetical index The term perfect square is used in mathematics in two meanings: a positive integer which is the square of some other integer, i.e. can be written in the form n2 for some integer n. See square number. an algebraic expression that can be factored as the square of some other expression, e.g. a2 ± 2ab + b2 = (a ± b)2. This is not the same as a magic square. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.