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xyz=1,求(x/xy+x+1)+(y/yz+y+1)+(1/xz+z+1)答案是什么
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xyz=1,求(x/xy+x+1)+(y/yz+y+1)+(1/xz+z+1)答案是什么
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你的括号写错了吧?
应该是
x/(xy+x+1)+y/(yz+y+1)+z/(xz+z+1)
=x/(xy+x+xyz)+y/(yz+y+1)+yz(xyz+yz+y)
=1/(y+1+yz)+y/(yz+y+1)+yz/(1+y+yz)
=(1+y+yz)/(1+y+yz)
=1
应该是
x/(xy+x+1)+y/(yz+y+1)+z/(xz+z+1)
=x/(xy+x+xyz)+y/(yz+y+1)+yz(xyz+yz+y)
=1/(y+1+yz)+y/(yz+y+1)+yz/(1+y+yz)
=(1+y+yz)/(1+y+yz)
=1
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