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If $α, β$ are the roots of $x^{2} - px + q = 0$ ,then $α^{3} + β^{3} =$

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$p^{3} - 3 pq$

$p^{3} + 3 pq$

$p^{2} - 2 pq$

$p + 3 q$

answer is B.

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Detailed Solution

$x^{2} - px + q = 0 \begin{array}{l} α + β = pαβ = q \\ α^{3} + β^{3} = (α + β)^{3} - 3 αβ (α + β) \\ = p^{3} - 3 q (p) \\ = p^{3} - 3 pq \end{array}$

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