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# 因式分解 - PowerPoint PPT Presentation

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## PowerPoint Slideshow about ' 因式分解' - sharon-snyder

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Presentation Transcript

2.因式分解的几种常用方法

(1)提公因式法

(2)运用公式法：

①平方差公式：a2-b2=(a+b)(a-b)

②完全平方公式：a2±2ab+b2=(a±b)2

(3)十字相乘法：x2+(a+b)x+ab=(x+a)(x+b)

(4)分组分解法：

①分组后能提公因式；

②分组后能运用公式.

4、分组分解法

1、提取公因式法

2、公式法

3、十字相乘法

1.若X2+mx+n=(x-3)(x+4),则m+n=_____

2.若4X2+mx+25是一个完全平方式,则m=______

1、是化简、运算、求值的基本功

### 如图,边长为a,b的矩形,它的周长为14,面积为10,则a2b+ab2=如图,边长为a,b的矩形,它的周长为14,面积为10,则a2b+ab2=

1.已知a,b,c为△ABC的三边,且满足a2c2-b2c2=a4-b4,试判断△ABC的形状.1.已知a,b,c为△ABC的三边,且满足a2c2-b2c2=a4-b4,试判断△ABC的形状.

3、恒等变换的基础

2.求证：对于正整数n，2n+4-2n能被30整除.