Q436
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?
If and then what is the value of xyz - x2 - y2 - z2?
A.
-4
AnswerB.
2
C.
-1
D.
-6
Answer: Option A
Solution
Answer: Option A
Solution:
Let a = b = c = 1∴ x = 2, y = 2, z = 2
xyz - x2 - y2 - z2
= 2 × 2 × 2 - 4 - 4 - 4
= 8 - 12
= -4