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3x+2﹣2x+1 3x+2﹣4x+1 3x+2﹣4x﹣2 3x+2﹣4x+2
3x(x2–4x+4) 3x (x–4)2 3x(x+2)(x–2) 3x (x–2)2
)(x+2)(x–2)=x2-4( )x2-4+3x=(x+2)(x–2)+3x ( )x2-3x-4=(x-4)(x+1)( )x2+2x-3=(x+1)2-4
{x|﹣4≤x<﹣2或3<x≤7} {x|﹣4<x≤﹣2或3≤x<7}
{x|x≤﹣2或x>3} {x|x<﹣2或x≥3}
(2x-2)(3x-4)=0,∴2-2x=0或3x-4=0 (x+3)(x-1)=1,∴x+3=0或x-1=1 (x-2)(x-3)=2×3,∴x-2=2或x-3=3 x(x+2)=0,∴x+2=0
2x-4-12x+3=9,-10x=9-4+3,故x=0.8 ; 2x-4-12x+3=9,-10x=9+4-3,故x=-1 ; 2x-4-12x-3=9,-10x=9+4+3,故x=-1.6; 2x-2-12x+1=9,-10x=9+2-1,故x=-1 ;
{x|-4≤x<-2或3{x|-4{x|x≤-2或x>3} {x|x<-2或x≥3}
4-x2+3x=(2-x)(2+x)+3x -x2+3x+4=-(x+4)(x-1) 1-4x+4x2=(1-2x)2 x2y-xy+x3y=x(xy-y+x2y)
[-2,-1] [-1,1] [1,2] [2,3]
a(x)与β(x)是等价无穷小 a(x)与β(x)是高价无穷小 a(x)是β(x)的低阶无穷小 a(x)与β(x)是同阶无穷小但不是等价无穷小
={x | 2≤x<4}, ={x | 3x-7≥8-2x},则A.∪B.= A.{x | 3≤x<4}B.{x | x≥2} {x | 2≤x<4} {x | 2≤x≤3}
x2+3x+2=x(x+3)+2 4x2﹣9=(4x+3)(4x﹣3) x2﹣5x+6=(x﹣2)(x﹣3) a2﹣2a+1=(a+1)2