The roots of the cubic equation

\(x^3 - 4x^2 + 6x - 5 = 0 \)

are \(p,q,r\). If

\( \large \frac {p^3}{q^4+r^4} + \frac {q^3}{p^4+r^4} + \frac {r^3}{p^4+q^4} = - \frac {a}{b} \)

for coprime positive integers \(a,b\). What is the value of \(a-2b\)?

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