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Question

If ax1=bc,by1=ac,cz1=ab, then find the value of xy + yz + zx - xyz.

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Solution

ax / a = bc , ax = abc
by/ b = ca , by = abc
cz / c = ab . cz = abc
a = (abc)1/x
b = (abc)1/y
c = (abc)1/z
abc = (abc)(1/x+1/y+1/z)
(abc)=(abc)((xy+yz+xz)/xyz)
(xy + yz + zx) / xyz = 1
xy + yz + zx - xyz=0

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