Clever Manipulations 1

Algebra Level 4

Let \(p,~q,~r\) be the roots of the equation \[x^3-2x^2+2x-11=0.\] Determine the value of the product \[\left(p^2-2qr\right)\left(q^2-2pr\right)\left(r^2-2pq\right).\]

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