老师,求解为什么行列式 y z x 与 x y z 相等?z x y y z x x y 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 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, X+Y+Z=? 如何化简(x+y+z)(x+y-z)(x-y+z)(-x+y+z) （x+y+z)(-x+y+z)(x-y+z)(x+y-z)怎么算 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) 化简(y-x)(z-x)/(x-2y+z)(x+y-2z)+（z-y)(x-y)/(x-2z+y)(y+z-2x)+(x z/(x-y) × y/(x+y)