(x 3y-z)(x-3y-z)

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(x+y-z)(x-y+z)=

[x+(z-y)][x-(z-y)]=x-(z-y)记得采纳啊

因式分解(x+y+z)^3-(y+z-x)^3-(z+x-y)^3-(x+y-z)^3

(x+y+z)^3-(y+z-x)^3-(z+x-y)^3-(x+y-z)^3=((x+y+z)^3-(y+z-x)^3)-((z+x-y)^3+(x+y-z)^3)=(x+y+z-y-z+x)((x

(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

试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)

有这样的公式:a^3+b^3+c^2-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)左边减右边,证明:(x+y-2z)^3+(y+z-2x)^3+(z+x-2y)^3-3(x+y

①(x+y+z)(-x+y+z)(x-y+z)(x+y-z)

(1)原式=x+y+z)(-x+y+z)(x-y+z)(x+y-z)=[(x+y+z)(x+y-z)]*{[z+(x-y)][z-(x-y)]}=[(x+y)^2-z^2][z^2-(x-y)^2]=

数学 多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)公因式

(x+y-z)(x-y+z)-(y+z-x)(z-x-y)=(x+y-z)(x-y+z)+(y+z-x)(x+y-z)所以公因式是(x+y-z)

(X-Y)3+(Y-Z)3+(Z-X)3 因式分解

(x-y)^3+(y-z)^3+(z-x)^3=[(x-y)^3+(y-z)^3]+(z-x)^3=(x-y+y-z)[(x-y)^2-(x-y)(y-z)+(y-z)^2]+(z-x)^3=(x-z

方程组{4x-3y-3z=0,x-3y+z=0,(x.y.z不等于0),求x/z和y/z的值?

4x-3y-3z=0.1)x-3y+z=0.2)相减:3x=4zx/z=4/31)-2)*4:9y=7zy/z=7/9所以:x/z=4/3,y/z=7/9

4x-3y-3z=0 x-3y+z=0 并且X Y Z不等于0 求x:z 和y:z的值

4x-3y-3z=0(1)x-3y+z=0(2)(1)-(2):3x-4z=0x=4z/3代入(1):16z/3-3y-3z=0y=7z/9所以:x:z=4:3y:z=7:9

方向 X Y Z

X--水平横向方向;Y--水平竖向方向;Z--垂直竖向方向.

3道高数题,1,函数F(x,y,z)=(e^x) * y * (z^2) ,其中z=z(x,y)是由x+y+z+xyz=

1、隐函数对x求导得1+az/ax+yz+xy*az/ax=0,故az/ax=-(1+yz)/(1+xy);F对x求导得aF/ax=e^x*y*z^2+e^x*y*2z*az/ax;当x=0,y=1时

如果,根号x-3+| y-2 |+z^2=2z-1 求 (x+z)^y

根号x-3+|y-2|+z^2=2z-1根号x-3+|y-2|+(z^2-2z+1)=0根号x-3+|y-2|+(z-1)^2=0由于数值开根号,绝对值和平方数均为大于等于0的数则上式要成立只有X-3

(x+y+z)^5-(x+y-z)^5-(x+z-y)^5-(z+y-x)^5,

(x+y+z)^5-(x+y-z)^5-(x+z-y)^5-(z+y-x)^5=80xyz(x^2+y^2+z^2)注:x^5,y^5,z^5之类的是被消掉了.我的结果100%是正确的,你再算算吧.朝

{x+y+z=1;x+3y+7z=-1;z+5y+8z=-2

这个题目没有问题么,我是说最后一个式子确定是z+5y+8z=-2?如果没有问题的话:x+y+z=1;①x+3y+7z=-1;②z+5y+8z=-2③①-②2Y+6Z=-2Y=(-2-6Z)/2=-1-

因式分解:25x y^2 z^2 (x+y-z)-30xyz(z-x-y)^2+5x y z^3 (z-x-y)

25xy^2z^2(x+y-z)-30xyz(z-x-y)^2+5xyz^3(z-x-y)=25xy^2z^2(x+y-z)+30xyz(x+y-z)^2-5xyz^3(x+y-z)=5xyz(x+y

x=y/z=z/3,x+y+z =12,求2x+3y+4z是多少,

3元一次方程,好像是初一的问题哦.根据前面两个等式可以得出x=3zy=z(平方)/32x+3y+4z=2*(3z)+3*(z方/3)+4z现在变成了一元二次方程,你应该会解吧.

x/2=y/3=z/5 x+3y-z/x-3y+z

设x/2=y/3=z/5=ax=2ay=3az=5a是不是求的是:(x+3y-z)/(x-3y+z)?若是,如下:(x+3y-z)/(x-3y+z)=(2a+9a-5a)/(2a-9a+5a)=-3

若{x+3y+10z=0 则 (x+y-z)/(x-y+z)

x+3y+10z=0就是x+3y=-10z即2x+6y=-20zA式2x-y-2z=0就是2x-y=2zB式A式-B式得到:(2x+6y)-(2x-y)=-20z-2z即7y=-22z解出y=-22z