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Algebra Level 5

Let P(x)=x4ax3+bx2cx+30P(x) = x^4 - ax^3 + bx^2 - cx + 30 be with real values a,b,ca,b,c. Such that its positive real roots r1,r2,r3,r4r_1, r_2, r_3, r_4 satisfy the equation 6r1+10r2+15r3+30r4=1206r_1 + 10r_2 + 15r_3 + 30r_4 = 120 . What is the value of (cb)2a2 (c-b)^2 - a^2 ?

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