# Question 10

Algebra Level 3

$\large \dfrac{(x-1)(y-1)(z-1)}{(x-1)^3 + (y-1)^3 + (z-1)^3}$

If $$x+y+z=3$$ and the value of the above expression can be expressed as $$\dfrac{1}{n}$$ for some positive integer $$n$$, find $$n$$.

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