化简|x-1|-|3x-6|

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化简|x-1|-|3x-6|

当x2丨x-1丨-丨3x-6丨=(x-1)-(3x-6)=x-1-3x+6=5-2x

(x+1-1/1-x)÷(x-x²/x-1) (x-4/x-x-6+ x+2/x-3)÷x+1/x-3

(x+1-1/1-x)÷(x-x²/x-1)=[(x+1)+1/(x-1)]×[-(x-1)/x(x-1)]=(x²-1+1)/(x-1)×(-1/x)=-x/(x-1)(x-4/

|X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10|

|x-1|+|x-10|表示数轴上x到1的距离+x到10的距离.显然最小值是9,此时x只要在1到10之间就好.类似的,|x-2|+|x-9|的最小值是7,此时x在2到9之间就好.|x-3|+|x-8|

化简(x^2+3x+9)/(x^3-27)+(6x)/(9x-x^2)-(x-1)/(6+2x)

是9x-x³原式=(x²+3x+9)/(x-3)(x²+3x+9)-6x/x(x-3)(x+3)-(x-1)/2(x+3)=1/(x-3)-6/(x-3)(x+3)-(x

化简(-2x^2)+3x+2)-3(7x^2-5x-1)-(4x^2-x+6)

(-2x^2+3x+2)-3(7x^2-5x-1)-(4x^2-x+6)=-2x^2+3x+2-21x^2+15x+3-4x^2+x-6=-2x^2-21x^2-4x^2+3x+15x+x+2+3-6

将[(X+3/X^2-4)-(-X/6-X-X^2)]/[1-(X^2-3X-15)/(X^2+X-6)]化简

[(X+3)/(X^2-4)-(-X)/(6-X-X^2)]/[1-(X^2-3X-15)/(X^2+X-6)]={(x+3)/[(x+2)(x-2)]-x/[(x+2)(x-3)]}/[(4x+9)

化简|X+1|-|3X-6|

零点是-1和2所以x2,原式=x+1-3x+6=-2x+7

化简(X+2)\(X^2+X)+(2X+1)\(X^2+3X+2)-(X-3)\(X^2+2X)

原式=(x+2)/x(x+1)+(2x+1)/(x+1)(x+2)-(x-3)/x(x+2)=[(x+2)^2+x(2x+1)-(x+1)(x-3)]/x(x+1)(x+2)=(x^2+4x+4+2x

已知3x*x-x=1,求6x*x*x+7x*x-5x+2000

3x*x=1+x得6x*x*x+7x*x-5x+2000=3x^2*2x+7x^2-5x+2000=(1+x)2x+7x^2-5x+2000=9x^2-3x+2000=3(3x^2-x)+2000=3

x+2/x^2-x-6 + 2x/x^3-3x - x+1/x^2-6x+9

中间错了原式=(x+2)/(x-3)(x+2)+2x/x(x-3)-(x+1)/(x-3)²=1/(x-3)+2/(x-3)-(x+1)/(x-3)²=3/(x-3)-(x+1)/

化简 (x+y)(x²-xy+y²) ; 3(2x-1)(x+6)-5(x-3)(x+6)

方程两边同时进行通分可得[5(x2-16)+96]/(x2-16)=[(2x-1)(x-4)+(3x-1)(x+4)]/(x2-16)再问:不好意思这是两道题再答:这好似第一个原式=(x+y)[(x-

解方程x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)

x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)x/(x-2)=2x/(x-3)+(1-x)/(x-2)(x-3)x(x-3)/(x-2)(x-3)=2x(x-2)/(x-2)(x-3)

(x+2/x^2-x-6)-(2x/x^2-3x)-(x+1/x^2-6x+9)

原式=(x+2)/(x+2)(x-3)-2x/x(x-3)-(x+1)/(x-3)²=1/(x-3)-2/(x-3)-(x+1)/(x-3)²=-1/(x-3)-(x+1)/(x-

化简|x+1|+|x-1|-|3x-6|

(1)x<-1|x+1|+|x-1|-|3x-6|=-x-1-x+1+3x-6=x-5(2)-1<x<1|x+1|+|x-1|-|3x-6|=x+1-x+1+3x-6=3x-4(3)1<x<2|x+1

化简(x+1)(x+2)(x+3)(x+6)-3x平方

(x+1)(x+2)(x+3)(x+6)-3x²=(x+1)(x+6)(x+2)(x+3)-3x²=(x²+7x+6)(x²+5x+6)-3x²=(x

化简[(x^2+5x+6)/(x+3)]/(x^2-4)/(x-3)-1,其中x=根号3

利用因式分解,原式化简得,(x-3)/(x-2)-1原式=(√3-3)/(√3-2)-1=-3-√3-1=-√3-4

化简:[√(x^2-6x+9)/x^2-x-12]*(x^3-16x)/(x^2-3x)-1/(x+3) {x>3}

分步写,好让看的清楚符号[√(x^2-6x+9)/x^2-x-12]=√(x-3)^2/(x-4)(x+3)=(x-3)/(x-4)(x+3);(x^3-16x)/(x^2-3x)=x(x^2-16)

化简~(x²+3x+9/x²-27)+(6x/9x-x²)-(x-1/6+2x)

(X²+3X+9/X²-27)+(6X/9X-X²)-(X-1/6+2X)=X²+3X+9/X²-27+6/9-X²-X+1/6+2X=9/

化简(2x-5)(3x+2)-6(x+1)(x-2),其中x=0.2

(2x-5)(3x+2)-6(x+1)(x-2)=6x²+4x-15x-10-6(x²+x-2x-2)=6x²-11x-10-6(x²-x-2)=6x²

化简:(x^2+3x+9)/(x^3-27)+6/(9-x^2)-(x-1)/(6+2x)

原式=(x²+3x+9)/(x-3)(x²+3x+9)-6/(x+3)(x-3)-(x-1)/2(x+3)=1/(x-3)-6/(x+3)(x-3)-(x-1)/2(x+3)=(2