(x+y+z)(-x+y+z)(x-y+z)(x+y-z)等于什么?

来源：学生作业帮编辑：百度作业网作业帮分类：数学作业时间：2024/05/04 03:57:42

题目应为:
（x+y-z)(x-y+z)-(x+y+z)(x-y-z)
=[x+(y-z)][x-(y-z)]-[x+(y+z)][x-(y+z)]
=x^2-(y-z)^2-[x^2-(y+z)^2]
=(y+z)^2-(y-z)^2
=(y+z+y-z)(y+z-y+z)
=2y*2z
=4yz

(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 （x-y+z）（x+y+z）等于多少. 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) x加y等于z什么意思