Toán Lớp 8: d) Cho xyz=1. Chứng minh rằng (x/xy+x+1)+(y/yz+y+1)+(z/zx+z+1)=1
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Toán Lớp 8: d) Cho xyz=1. Chứng minh rằng (x/xy+x+1)+(y/yz+y+1)+(z/zx+z+1)=1
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= (y+1)/(yz+y+1) + z/(xz+z+1)
= (xyz+y)/(xyz+yz+y) + z/(xz+z+1)
= (xz+1)/(xz+z+1) + z/(xz+z+1)
= (xz+z+1)/(xz+z+1) = 1