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yin shi fen jie yong fa shi ling
Author(s): 
Pages: 42-45
Year: Issue:  Z2
Journal: Required Reading for Junior Middle School Students

Keyword:  数学思想方法原式平方数正实数试判几何形状展开式公式法乘积项求值;
Abstract: <正>因式分解是一种重要的数学思想方法,这里介绍因式分解在解题中的几种应用.供参考.一、用于整除例1已知296-1可被60至70之间的两个整数整除,这两个数是多少?解296-1=(248+1)(248-1)=…=(248+1)(224+1)(212+1)(26+1)(26-1)=(248+1)(224+1)(212+1)×65×63.∴296-1可被63、65整除.即这两个数是63、65.二、用于计算例2计算:(12+32+…+992)-(22+42+…+1002).
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