因式分解:x^4+y^4+z^4+8xyz+1-2(x^2y^2+y^2z^2+z^2x^2+x^2+y^2z^2)

因式分解 (x+y+z)^2+yz(y+z)+xyz 因式分解：25x y^2 z^2 (x+y-z)-30xyz(z-x-y)^2+5x y z^3 (z-x-y) 已知4x-3y+z=0,x+2y-8z=0,xyz不等于0,求x+y-z/x-y+2z的值 已知 x,y,z都是正实数,且 x+y+z=xyz 证明 (y+x)/z+(y+z)/x+(z+x)/y≥2(1/x+1 x*x+y*y+2z*z-2x+4y+4z+7=0,求xyz的值 方程组X:Y:Z=4:7:8,X+Y+2Z=54 求XYZ x^4+y^4+1+8xyz-2(y^2z^2+z^2x^2+x^2y^2+x^2+y^2+z^2) (y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z 因式分解：x^4+y^4+z^4+1+8xyz-2(y^2z^2+z^2x^2+x^2y^2+x^2+y^2+z^2) 因式分解:x^4+y^4+z^4+8xyz+1-2(x^2y^2+y^2z^2+z^2x^2+x^2+y^2z^2) 因式分解X2(Y+Z)+Y2(Z+X)+Z2(X+Y)-(X3+Y3+Z3)-2XYZ 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+(