Show that (1 - omega + {omega ^2})(1 - {omega ^2} + {omega ^4})(1 - {omega ^4} + {omega ^2})cdots to 2n factors= {2^{2n,}}, where omega is the cube root of unity.
![Omega Introduces Spirate System & 0/+2 Seconds Accuracy In The Omega Speedmaster Super Racing Watch | aBlogtoWatch Omega Introduces Spirate System & 0/+2 Seconds Accuracy In The Omega Speedmaster Super Racing Watch | aBlogtoWatch](https://www.ablogtowatch.com/wp-content/uploads/2023/01/Omega-Speedmaster-Super-Racing-Spirate-System-Accuracy-Luxury-Chronograph-11.jpg)
Omega Introduces Spirate System & 0/+2 Seconds Accuracy In The Omega Speedmaster Super Racing Watch | aBlogtoWatch
![factor analysis - What are $\omega_1$ (Omega 1) and $\omega_2$ (Omega 2) in the reliability output from R? - Cross Validated factor analysis - What are $\omega_1$ (Omega 1) and $\omega_2$ (Omega 2) in the reliability output from R? - Cross Validated](https://i.stack.imgur.com/Av4ua.png)