A Rule for Resolving Integral Algebraic Expressions into Factors

Abstract

Professor Chrystal remarks (Algebra, Chap. VII. §4) that “for tntative processes no general rule can be given.” The tentative processes consist in arranging the terms in groups in such a way as either to manifest a factor common to these groups or aggregates of terms, or to bring the expression under one of the Standard Forms of which the factors are already known, such as a 2 - b 2 , a 3 - b 3 , a 3 + b 3 .