If w is an imaginary cube root of unity then prove that
`(1-w)(1-w^2)(1-w^4)(1-w^5)=9`

Explanation

To prove that \((1 - \omega)(1 - \omega^2)(1 - \omega^4)(1 - \omega^5) = 9\), where \(\omega\) is an imaginary cube root of unity, we will follow these steps:

### Step 1: Understanding the properties of \(\omega\)
The cube roots of unity are the solutions to the equation \(x^3 = 1\). The roots are:
\[ 1, \omega, \omega^2 \]
where \(\omega = e^{2\pi i / 3} = -\frac{1}{2} + i\frac{\sqrt{3}}{2}\) and \(\omega^2 = e^{-2\pi i / 3} = -\frac{1}{2} - i\frac{\sqrt{3}}{2}\).
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