Clever Manipulations 1

Algebra Level 4

Let p, q, rp,~q,~r be the roots of the equation x32x2+2x11=0.x^3-2x^2+2x-11=0. Determine the value of the product (p22qr)(q22pr)(r22pq).\left(p^2-2qr\right)\left(q^2-2pr\right)\left(r^2-2pq\right).

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