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If x = frac a b + frac b a y...

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Algebra
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If $$x = \frac{a}{b} + \frac{b}{a},\,y = \frac{b}{c} + \frac{c}{b}$$     and $$z = \frac{c}{a} + \frac{a}{c},$$   then what is the value of xyz - x2 - y2 - z2?

Answer & Solution
Correct Answer: Option A
Let a = b = c = 1
∴ x = 2, y = 2, z = 2
xyz - x2 - y2 - z2
= 2 × 2 × 2 - 4 - 4 - 4
= 8 - 12
= -4
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