If $w$ is a complex cube root of unity ( $w \neq = 1$ ), find the value of $(1 - w + w^{2}) (1 + w - w^{2})$ .

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If $α$ and $β$ are the roots of the quadratic equation $x^{2} - 4 x + 2 = 0$ , find the quadratic equation whose roots are $α^{2}$ a…
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