Question

Alpha beta gama delta write sum of product of roots take two at a time

Answer 1

$\alpha\beta + \alpha\gamma + \alpha\delta + \beta\gamma + \beta\delta + \gamma\delta$

Answer 2

The question asks for the sum of all distinct products formed by taking two roots at a time from the set of roots $\{\alpha, \beta, \gamma, \delta\}$.
The unique pairs are $(\alpha, \beta), (\alpha, \gamma), (\alpha, \delta), (\beta, \gamma), (\beta, \delta), (\gamma, \delta)$.