Clever Manipulations 1

Algebra Level 4

Let p, q, rp,~q,~r be the roots of the equation x3−2x2+2x−11=0.x^3-2x^2+2x-11=0. Determine the value of the product (p2−2qr)(q2−2pr)(r2−2pq).\left(p^2-2qr\right)\left(q^2-2pr\right)\left(r^2-2pq\right).

Tom Zhou by Tom Zhou
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