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2.常用数学公式
(1)乘法及因式分解
(x+a)(x+b)=x2+(a+b)x+ab
(a ± b)2=a 2 ±2ab+b 2
(a ± b)3=a 3 ±3a 2 b+3ab 2 ± b 3
(a+b+c)2=a2+b2+c2+2ab+2bc+2ca
![](https://epubservercos.yuewen.com/30512E/3590277004478801/epubprivate/OEBPS/Images/figure_0010_0001.jpg?sign=1738971962-5CCtJNAjaIccOt8N18jo8MZSuKirXTeA-0-9bd6b48dc93b64765f20a6aac9f2059c)
a2-b2=(a+b)(a-b)
a 3± b 3=(a ± b)(a 2±ab+b 2)
(2)分数加减乘除法
![](https://epubservercos.yuewen.com/30512E/3590277004478801/epubprivate/OEBPS/Images/figure_0010_0002.jpg?sign=1738971962-ZLSrmzvcGbAIaoHLthN2j6HuoNRHJlOI-0-114aeda3e4e9c5def07682f1f855fed2)
![](https://epubservercos.yuewen.com/30512E/3590277004478801/epubprivate/OEBPS/Images/figure_0010_0003.jpg?sign=1738971962-ZPHclQE2XYzNdFouBffcX9sdegGGUAJ6-0-cbef221646e6090c3b9cceba1de4d11e)
![](https://epubservercos.yuewen.com/30512E/3590277004478801/epubprivate/OEBPS/Images/figure_0010_0004.jpg?sign=1738971962-g9dw0nOkZJoTramNGSHccKnf5Vppqjgx-0-0c50416173e44dc36c40a0f27ea8e433)
![](https://epubservercos.yuewen.com/30512E/3590277004478801/epubprivate/OEBPS/Images/figure_0010_0005.jpg?sign=1738971962-Dzvg1HGYcizellFmOBnXcRnHZHoubmN5-0-66ea4542b46926bfa5278511379c30ef)
(3)对数
若a>0,a 1
ax=M,则lgaM=x
lga1=0 lg aa=1 lg a(M N)=lg a M+lg aN
lga(M n)=n · lgaM
![](https://epubservercos.yuewen.com/30512E/3590277004478801/epubprivate/OEBPS/Images/figure_0010_0007.jpg?sign=1738971962-5nWXzyCxAbhoOk5zXsWSFBfRtuoMT0bM-0-3597d368f324c9d457ad82e347d3f425)