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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=1739286890-NPlncQq1qmUybiS9bNf7cPRkgl3BhsP1-0-3f875175ac7d4902661ea6d6c432eb25)
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=1739286890-SQWEJ7WbPjV88AP9dHdvvck9Owhj3opK-0-e353e87a08f23317f8f22be4c2bad06c)
![](https://epubservercos.yuewen.com/30512E/3590277004478801/epubprivate/OEBPS/Images/figure_0010_0003.jpg?sign=1739286890-VfDRCLAqhjv8BNyOie1kEDUTgzjBQiua-0-23964ee9ed881d206b5d358eee482050)
![](https://epubservercos.yuewen.com/30512E/3590277004478801/epubprivate/OEBPS/Images/figure_0010_0004.jpg?sign=1739286890-4ZsCrFB6tFPw1k7nxxhQ85FOnx65l6v3-0-2f3e44294d781238f1a59acb77a948b5)
![](https://epubservercos.yuewen.com/30512E/3590277004478801/epubprivate/OEBPS/Images/figure_0010_0005.jpg?sign=1739286890-25VnGelvVPayUadMeHe1SirGfNbG09tT-0-a373bd273b45ea20f356eb5f3f826548)
(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=1739286890-IHwYSiCtP4H8PKWdgPA8tytxCzcikRUR-0-b321394c790fa12e4950d9e15e43ab96)