已知:(y-z)²+(x-y)²+(z-x)²=(y+z-2x)²+(z+x-2y)²+(x+y-2z)²
问题描述:
已知:(y-z)²+(x-y)²+(z-x)²=(y+z-2x)²+(z+x-2y)²+(x+y-2z)²
求
(yz+1)(zx+1)(xy+1)
__________________
(x²+1)(y²+1)(z²+1)
答
答案:1.
把所给的等式化掉,最后化出来的结果是:X*X+Y*Y+Z*Z=X*Y+X*Z+Y*Z
再两边同时加3,然后完成.