Sophie Germain's identity
Mathematical polynomial factorization / From Wikipedia, the free encyclopedia
This article is about a polynomial identity attributed to Sophie Germain. For the pseudonymous identity used by Germain, see Antoine-Auguste Le Blanc.
In mathematics, Sophie Germain's identity is a polynomial factorization named after Sophie Germain stating that
Beyond its use in elementary algebra, it can also be used in number theory to factorize integers of the special form , and it frequently forms the basis of problems in mathematics competitions.[1][2][3]