x^2 y^2 z^2-6x-4y 2z 14分解因式

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(y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z

∑是循环和例如∑a=a+b+c∑a^2=a^2+b^2+c^2∑(z-y)(x-y)/(x+y-2z)(y+z-2x)=∑(z-y)(x-y)(x+z-2y)/(x+y-2z)(y+z-2x)(x+z

{2x+3y-4z=-5 x+y+z=6 x-y+3z=10

(1)2x+3y-4z=-5(2)x+y+z=6(两边同时×33x+3y+3z=18(与(1)相减得(5)(3)x-y+3z=10(与(2)相加得(4))(4)2x+4z=16(5)x+7z=23(两

5x+3y+2z=2011 4x+6y+7z=2012 求x+y+z

(5x+3y+2z)+(4x+6y+7z)=2011+20129(x+y+z)=4023x+y+z=447

解方程组{3x+y-z=4,2x-y+3z=12,x+y+z=6}

{3x+y-z=4①,2x-y+3z=12②,x+y+z=6③}①+②得5x+2z=16④,②+③得3x+4z=18⑤④×2—⑤得7x=14,x=2所以z=3、y=1所以方程组的解为x=2、y=1、z

{(z+y)(x-y)-(x-y)的2次方+2y(x-y)}除以4y

(x-y)(z+y-x+y+2y)÷4y=(x-y)(z-x+4y)÷4y{(x+y)(x-y)-(x-y)的2次方+2y(x-y)}除以4y=(x-y)(x+y-x+y+2y)÷4y=(x-y)(4

化简(y-x)(z-x)/(x-2y+z)(x+y-2z)+(z-y)(x-y)/(x-2z+y)(y+z-2x)+(x

∵x-2y+z=(x-y)-(y-z),x+y-2z=(y-z)-(z-x),y+z-2x=(z-x)-(x-y).设x-y=a,y-z=b,z-x=c,则原式=-ac/(a-b)(b-c)+(-ba

已知x/4=y/5=z/6 求x+y+z/3x-2y+z的值

设:x/4=y/5=z/6=k则有:x=4k,y=5k,z=6k(x+y+z)/(3x-2y+z)=(4k+5k+6k)/(12k-10k+6k)=15k/8k=15/8

x,y,z正整数 x>y>z证明 x^2x +y^2y+z^2z>x^(y+z)*y^(x+z)*z^(x+y)

正整数?取对数即证:2xlnx+2ylny+2zlnz>(y+z)lnx+(x+z)lny+(x+y)lnzx>y>z,lnx>lny>lnz由排序不等式得xlnx+ylny+zlnz>ylnx+zl

①x+y+z=6 3x-y+2z=12 x-y-3z=-4 ②x+y-z=2 4x-2y+3y+8=0 x+3y-2z-

(1)x+y+z=6①3x-y+2z=12②x-y-3z=-4③①+②4x+3z=18④②-③2x+5z=16⑤⑤×24x+10z=32⑥⑥-④7z=14解得z=2代入⑤2x+5×2=16解得x=3将

2x-y+2z=-17 3x+y-3z=-4 x+y+z=6

2x-y+2z=-17①3x+y-3z=-4②x+y+z=6③③*2:2x+2y+2z=12④④-①:3y=29y=29/3带入③:x+z=-11/3⑤带入②:3x-3z=-41/3即x-z=-41/

1.x+y=16,y+z=12,z+x=102.3x-y+z=4,2x+3y-z=12,x+y+z=63.x+y+z=6

1.x+y=16①y+z=12②z+x=10③①-②x-z=4④③+④2x=14x=7⑤⑤代入①y=9⑥⑥代入②z=3x=7,y=9,z=3(2)3x-y+z=4①2x+3y-z=12②x+y+z=6

x+y+z=4 2x+3y-z=6 3x+2y+2z=10

X+Y+Z=4,2*(X+Y+Z)+X=10,可以解出X=2.套入第二个和第一个.4+3Y-Z=66+2Y+2Z=10那么3Y=Z+2,2Y+2Z=4.Y=1,X=1X+Y+Z=4=2+1=12x+3

(x+2y-7z)^3+(3x-4y+6z)^3-(4x-2y-z)^3 因式分解

x+2y-7z=a3x-4y+6z=b4x-2y-z=c则a+b=ca^3+b^-c^3=(a+b)^-3a^2b-3ab^2-c^3=-3ab(a+b)=-3abc=-3(x+2y-7z)(3x-4

解方程组:x+y+z=4,x+y+2z=5,3x+y-z=6

x+y+z=41式x+y+2z=52式3x+y-z=63式2-1式z=13-2式2x-3z=14式z=1代入4式x=2再代入1式y=1∴x=2,y=1,z=1请点击下面的【选为满意回答】按钮,再问:�

2x+5y+4z=6,3x+y-7z=-4,x+y-z=?

已知,2x+5y+4z=6,3x+y-7z=-4,可得:2(2x+5y+4z)+3(3x+y-7z)=2*6+3*(-4)=0;即有:13(x+y-z)=0,所以,x+y-z=0.

已知x/4=y/5=z/6,求x+y+z/3x-2y+z的值.

/>x/4=y/5=z/6=t分别用t表示x,y,z然后带入到要求的式子x+y+z/3x-2y+z中最终解得结果

已知2x+5y+4z=6 3x+y-7z=-4求x+y-z

解法1:2x+5y+4z=0式①3x+y-7z=0式②x+y-z=?式③式①=0,式②=0,所以式①-式③=式②-式③即:2x+5y+4z-x-y+z=3x+y-7z-x-y+zx+4y+5z=2x+

2x+y+z=2 x+2y+z=4 x+y+2z=6

2x+y+z=2(1)x+2y+z=4(2)x+y+2z=6(3)(1)+(2)+(3)4x+4y+4z=12x+y+z=3(4)(1)-(4),x=-1(2)-(4),y=1(3)-(4),z=3

设x、y、z为整数,证明:x^4*(y-z)+y^4*(z-x)+z^4*(x-y)/(y+z)^2+(z+x)^2+(

x^4(y-z)+y^4(z-x)+z^4(x-y)=xy(x^3-y^3)+yz(y^3-z^3)+zx(z^3-x^3)=xy(x^3-y^3)+yz(y^3-z^3)-zx[(x^3-y^3)+