因式分解：(x+y+z)4-(y+z)4-(z+x)4-(x+y)4+x4+y4+z4,

因式分解:(x+y+z)的平方-4(x-y-z) 因式分解：x^-4xy+4y^-z^ 已知x+y+z=0,x2+y2+z2=1,求xy+yz+xz,x4+y4+z4的解 已知x+y+z=0,求x4+y4+z4-2x2y-2y2z2-2z2x2的值 因式分解2(x^2y^2+y^2z^2+z^2x^2)-(x^4+y^4+z^4) (x+2y-7z)^3+(3x-4y+6z)^3-(4x-2y-z)^3 因式分解 因式分解(3X+4Y-5Z)(3X-4Y=5Z) 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+( 20x2+253x+800因式分解 x4+y4+(x+y)4因式分解 已知x+y+z=1 x2+y2+z2=2 x3+y3+z3=3 求x4+y4+z4=? 1.设X ,Y,Z 成等差数列,代数式（X-Z）*（X-Z）+ 4(X-Y)(Z-Y)= 求解2x≥x+y+z 4y≥x+y+Z 8z≥x+y+z x、y、z均大于0