If x=(a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then

If x=(a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then
| If x=(a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz - x2 - y2 - z2 ?

A. -4

B. 2

C. -1

D. -6

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

Let the a=b=c
Then x=2
Y=2
Z=2
So xyz-x2-y2-z2=2× 2×2 – 4 – 4 - 4= - 4

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