x^2+y^2+2xy-z^2

代数 x^-y^/ x^-(y-z)^ 除以 x^+2xy+y^/(x-y)^-z^ 乘 x^+xy-xz/x^-xy 化简(y-x)(z-x)/(x-2y+z)(x+y-2z)+（z-y)(x-y)/(xy-2z)(y+z-2x)+(x-z)(y-z)/(y+z-2x)(x-2y+z)速速回答 化简x^2-yz/[x^2-(y+z)x+yz]+y^2-zx/[y^2-(z+x)y+zx]+z^2-xy/[z^2-(x+y)z+xy] (2X+Z-Y)/(X^2-XY+XZ-YZ)-(Y-Z)/(X^2-XY-XZ+YZ) (xy-1)^2+(x+y-z)(x+y-zxy)因式分解 设z=f(x^2-y^2,e^（xy)),求偏导z/x,偏导z/y 化简(2x-y-z/x^2-xy-xz+yz)+(2y-x-z/y^2-xy-yz+xz)+(2x-x-y/z^2-xz-yz+xy) 24xy^2z^2(x+y+z)-32xyz(z-x-y)^2+8xyz^3(z-x-y) 24xy^2z^2(x+y+z)-32xyz(z-x-y)^2+8xyz^3(z-x-y) (x^2+yz)/(x^2+x(y-z)-yz)+(y^2-xz)/(y^2+y(x+z)+zx)+(z^2+yx)/(x^2-z(x-y)-yx)最后一项应为：(z^2-xy)/(z^2+z(y-x)-xy) 二元函数Z=x^2-xy+4y^2,求二阶偏导数Zxx Zxy Zyy (x^2-y^2)/[x^2-(y-z)^2]/[x^2+2xy+y^2]/[(x-y)^2-z^2]*[x^2+xy-xz]/[x^2-xy]= 求全微分函数Z(X,Y),已知方程 Z^2*ln（X+Z)=XY x²-y²/x²-(y-z)²÷x²+2xy+y²/(x-y)²-z²×x²+xy-xz/x²-xy 求(2X+Z-Y)/(X^2-XY+XZ-YZ)-(2X+Y+Z)/(X^2+XY+XZ+YZ) 已知XY=2(X+Y),YZ=4(Y+Z),ZX=5(Z+X),求X,Y,Z已知XY=2(X+Y),YZ=4(Y+Z),ZX=5(Z+X),求X,Y,Z 设z=f(xy^2-x^2y)求z对xy的二阶偏导 方程组xy/x+y=2 yz/y+z=4 zx/x+z=5 求x,y,z