(x+y+z)的平方的什么,详细过程,急急急!!

\u6c42\uff08x-y+z\uff09\u7684\u5e73\u65b9\u7684\u503c \uff08\u8981\u6709\u8fc7\u7a0b\uff0c\u8c22\u8c22\uff01\uff09

\uff08x-y+z\uff09\u7684\u5e73\u65b9
=(x-y)²+2(x-y)z+z²
=x²-2xy+y²+2xz-2yz+z²

\u4f60\u597d\uff0c\u6ca1\u6709\u9633\u5149\u7684\u52a8\u4eba\uff1a

\u89e3\uff1a
\u22353(x²+y²+z²)=(x+y+z)²
\u53733x²+3y²+3z²=x²+y²+z²+2xy+2yz+2xz
2x²+2y²+2z²=2xy+2yz+2xz
2x²+2y²+2z²-2xy-2yz-2xz=0
(x²+y²-2xy)+(y²+z²-2yz)+(x²+z²-2xz)=0
(x-y)²+(y-z)²+(x-z)²=0
\u4e14(x-y)²\u22650\uff0c(y-z)²\u22650\uff0c(x-z)²\u22650
\u2234x-y=0\uff0cy-z=0\uff0cx-z=0
\u89e3\u5f97x=y=z
\u2234x\u3001y\u3001z\u7684\u5173\u7cfb\u662f\u76f8\u7b49\u7684

(x+y+z)²
=(x+y+z)(x+y+z)
=x²+xy+xz+yx+y²+yz+zx+zy+z²
=x²+y²+z²+2(xy+yz+zx)

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