# 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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