怎么化简x²+y²+z²-xy-yz-xz
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 23:57:27
![怎么化简x²+y²+z²-xy-yz-xz](/uploads/image/z/8832351-39-1.jpg?t=%E6%80%8E%E4%B9%88%E5%8C%96%E7%AE%80x%26%23178%3B%2By%26%23178%3B%2Bz%26%23178%3B-xy-yz-xz)
怎么化简x²+y²+z²-xy-yz-xz
怎么化简x²+y²+z²-xy-yz-xz
怎么化简x²+y²+z²-xy-yz-xz
1)若是化简,无法再继续进行
2)若是凑成别的形式可以这样:
x²+y²+z²-xy-yz-xz
=1/2*(2x²+2y²+2z²-2xy-2yz-2xz)
=1/2*【(x-y)²+(x-z)²+(y-z)²】
x²+y²+z²-xy-yz-xz
=1/2*[2(x²+y²+z²-xy-yz-xz)]
=1/2*[2x²+2y²+2z²-2xy-2yz-2xz]
=1/2*[(x²+y²-2xy)+(x²+z²-2xz)+(y²+z²-2yz)]
=1/2*[(x-y)^2+(x-z)^2+(y-z)^2]