# Complex Theory

Algebra Level pending

Consider three different complex numbers $$z_{1}, z_{2}, z_{3} \in \mathbb{C}$$. Given that the magnitude of any of those complex numbers is 1 and $$z_{1}+ z_{2}+z_{3}=1$$, find the value of the expression $$(1-z_{1})(1-z_{2})(1-z_{3})$$

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