# 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 - x

^{2}- y^{2}- z^{2}?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-x^{2}-y^{2}-z^{2}=2× 2×2 – 4 – 4 - 4= - 4