{"title":"A Rule for Resolving Integral Algebraic Expressions into Factors","authors":"R. Muirhead","doi":"10.1017/S1757748900000591","DOIUrl":null,"url":null,"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 .","PeriodicalId":417997,"journal":{"name":"Edinburgh Mathematical Notes","volume":"172 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1910-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Edinburgh Mathematical Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/S1757748900000591","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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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 .
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