If `alpha` and `beta` are the roots of `x^2 - p (x+1) - c = 0`, then the value of `(alpha^2 + 2alpha+1)/(alpha^2 +2 alpha + c) + (beta^2 + 2beta + 1)/(beta^2 + 2beta + c)`

Explanation

To solve the given problem, we need to find the value of

\[ \frac{\alpha^2 + 2\alpha + 1}{\alpha^2 + 2\alpha + c} + \frac{\beta^2 + 2\beta + 1}{\beta^2 + 2\beta + c} \]

where \(\alpha\) and \(\beta\) are the roots of the equation

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