Roots of the Equation!

Algebra Level 3

Let \(\alpha\) and \(\beta\) be the zeros of \(x^{2} + px + 1\).

Let \(\gamma\) and \( \delta\) be the zeros of\(x^{2} + qx + 1\).

Find the value of \( (\alpha – \gamma) (\beta – \gamma) (\alpha + \delta) (\beta + \delta) \) in terms of \(p \) and \(q\).

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