The cubic equation \(x^{3}-2 x^{2}-3 x+4=0\) has roots \(\alpha, \beta, \gamma\). Given that \(c=\alpha+\beta+\gamma\), state the value of \(c\).

Use the substitution \(y=c-x\) to find a cubic equation whose roots are \(\alpha+\beta, \beta+\gamma, \gamma+\alpha\).

Find a cubic equation whose roots are \(\frac{1}{\alpha+\beta}, \frac{1}{\beta+\gamma}, \frac{1}{\gamma+\alpha}\).

Hence evaluate \(\frac{1}{(\alpha+\beta)^{2}}+\frac{1}{(\beta+\gamma)^{2}}+\frac{1}{(\gamma+\alpha)^{2}}\).