A difficult question

If $ \alpha  $ and $ \beta $ are the roots of $ x^2-p(x+1)-c=0 $ , then prove that

$$\frac{\alpha^2+2\alpha+1}{\alpha^2+2\alpha+c}+\frac{\beta^2+2\beta+1}{\beta^2+2\beta+c}=1$$

Please show your steps.

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