Clever manipulations 2

Algebra Level 3

Suppose that p,qp,q and rr are the roots of x32x2+2x4x^3-2x^2+2x-4. Find the value of the product

(p2+q+r)(q2+p+r)(r2+p+q)(p^2+q+r)(q^2+p+r)(r^2+p+q)

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