若x、y、z均是正整数,试说明(z^-x^-y^)^-4x^y^能被x+y+z整除.
设X,Y,Z都是整数,满足条件(X-Y)(Y-Z)(Z-X)=X+Y+Z,试证明X+Y+Z能被27整除
证明:x^4+y^4+z^4-2x^2y^2-2x^2z^2-2y^2z^2能被(x+y+z)整除
x,y,z正整数 x>y>z证明 x^2x +y^2y+z^2z>x^(y+z)*y^(x+z)*z^(x+y)
(x+y-z)(x-y+z)=
(y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z
试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)
x,y,z被定义为整数,下列表达式最终能正确表达代数式1/(x*y*z)的是:1/(x*y*z) 1.0/(x*y*z)
若z分之x+y+z=y分之x-y+z=x分之-x+y+z,求xyz分之(x+y)(y+z)(z+x)
①(x+y+z)(-x+y+z)(x-y+z)(x+y-z)
数学 多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)公因式
方向 X Y Z
(x+y+z)^5-(x+y-z)^5-(x+z-y)^5-(z+y-x)^5,