If \( \alpha, \beta, \gamma \) are the roots of the equation, \( x^{3}+p x^{2}+q x+r=0 \) then f...
If \( \alpha, \beta, \gamma \) are the roots of the equation, \( x^{3}+p x^{2}+q x+r=0 \) then find the value of \( \left(\alpha-\frac{1}{\beta \gamma}\right)\left(\beta-\frac{1}{\gamma \alpha}\right)\left(\gamma-\frac{1}{\alpha \beta}\right) \).
(a) \( -\frac{(r-1)^{3}}{r^{2}} \)
(b) \( -\frac{(r-2)^{3}}{r^{2}} \)
\( -\frac{(r+1)^{3}}{r^{2}} \)
\( (d)-\frac{(r-2)^{3}}{(r-1)} \)
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