x-y-z=3,yz-xy-xz=3,x2(平方)+y2+z2=( )
问题描述:
x-y-z=3,yz-xy-xz=3,x2(平方)+y2+z2=( )
答
[x-(y+z)]2(平方)=9
x2(平方)-2x(y+z)+(y+z)2(平方)=9
x方-2xy-2xz+y方+2yz+z方=9
x方+y方+z方+2yz-2xy-2xz=9
x方+y方+z方=9-(2yz-2xy-2xz)
x方+y方+z方=9-2(yz-xy-xz)
x方+y方+z方=9-6=3
x方+y方+z方=3