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化简：(x^2+y^2-z^2+2xy)/(x^2-y^2-z^2-2zy)

来源：学生作业帮 编辑：神马作文网作业帮 分类：数学作业 时间：2024/11/10 08:30:29
化简：(x^2+y^2-z^2+2xy)/(x^2-y^2-z^2-2zy)
化简：(x^2+y^2-z^2+2xy)/(x^2-y^2-z^2-2zy)
(x^2+y^2-z^2+2xy)/(x^2-y^2-z^2-2zy)
=(x^2+y^2+2xy-z^2)/(x^2-(y^2+z^2+2zy))
=[(x+y)^2-z^2]/[x^2-(y+z)^2]
=[(x+y-z)(x+y+z)]/[(x-y-z)(z+y+z)]
=(x+y-z)/(x-y-z)
已知x,y,z 大于0,x+y+z=2,求证 xz/y(y+z)+zy/x(x+y)+yx/z(z+x)大于等于2/3 化简(y-x)(z-x)/(x-2y+z)(x+y-2z)+（z-y)(x-y)/(xy-2z)(y+z-2x)+(x- 怎么算3X+2Y+Z已知;XY/X+Y=1 ZY/Z+Y=2 ZX/Z+X=3 求3X+2Y+Z的值"/"是分数线或是说 若x/3=y/1=z/4,且xy+xz+zy=76,求2x(2)+12y(2)+9z(2) 解方程组2X+YX^2=Y 2Y+ZY^2=Z 2Z+XZ^2=X 解方程组xy+xz=8-x^2,yx+yz=12-y^2,zy+zx=-4-z^2 1.已知4(xy-zx-y²+yz)=-z²+2zx-x²,求z-zy+x-3的值 化简(y-x)(z-x)/(x-2y+z)(x+y-2z)+（z-y)(x-y)/(x-2z+y)(y+z-2x)+(x 已知:xyz=1,x+y+z=2,x^2+y^2+z^2=16求1/(xy+2z)+1/(zy+2x)+1/(xz+2y 设函数z=(x,y),由方程x+2y+xy-z-exp(z)=0确定,且Z(1,0)=0,Zx(1,0),Zy(1,0) (y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z (2X+Z-Y)/(X^2-XY+XZ-YZ)-(Y-Z)/(X^2-XY-XZ+YZ)