If \( \alpha, \beta \) are the roots of \( x^{2}-a(x-1)+b=0 \), then find the value of \( \frac{...

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If \( \alpha, \beta \) are the roots of \( x^{2}-a(x-1)+b=0 \), then find the value of \( \frac{1}{\alpha^{2}-a \alpha}+\frac{1}{\beta^{2}-b \beta}+\frac{2}{a+b} \)
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