Problem

Problem

If α,β,γ\alpha, \beta, \gamma are the roots of the equation x3−px2+qx−r=0x^3 - px^2 + qx - r = 0 , find (i) ∑α2\sum \alpha^2 (ii) ∑α2β\boxed{\sum \alpha^2 \beta} (iii) ∑α3.\sum \alpha^3.

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