`(1-omega+omega^2)(1-omega^2+omega^4)(1-omega^4+omega^2)….`to `2n Factors = 2^(2n)`

Explanation

`L.H.S.=(1-omega+omega^2)(1-omega^2+omega^4)(1-omega^4+omega^2"…….to 2n factors."`
`=(-omega-omega)1-omega^2+omega)(1-omega+omega^2)"……to 2n factors."`
`=(-2omega)(-omega^2-omega^2)(-omega-omega)"……to 2n factors"`
`=[(-2omega)(-2omega)"………to n factors]"xx[(-2omega^2)(-2omega^2)"......to n factors."]`
`=(-2omega)^nxx(-2omega^2)^n=(4omega^3)^n=4^n=2^(2n)`"=R.H.S.(Proved)"