1/2(x+y+z)的平方+1/2(x-y-z)(x-y+z)-z(x+y)化简为多少?

问题描述:

1/2(x+y+z)的平方+1/2(x-y-z)(x-y+z)-z(x+y)化简为多少?
1个回答 分类:数学 2014-11-01

问题解答:

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1/2(x+y+z)的平方+1/2(x-y-z)(x-y+z)-z(x+y)
=½(x²+y²+z²+2xy+2xz+2yz)+½(x²-2xy+y²-z²)-zx-zy
=½x²+½y²+½z²+xy+xz+yz+½x²-xy+½y²-½z²-zx-zy
=x²+y²
 
 
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