Polynomials

Algebra Level 4

(ac)(bc)(a+d)(b+d)\large (a-c)(b-c)(a+d)(b+d)

If aa and bb are the zeros of f(x)=x2+px+1f(x)= x^2+px+1, and cc and dd are the zeros of g(x)=x2+qx+1g(x)= x^2+qx+1. What is the value of the expression above?

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