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If (p + q) = 11 and pq = – 42, what is the value of p3 + q3?


1. 2477
2. 2421
3. 2717
4. 2707

1 Answer

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Best answer
Correct Answer - Option 3 : 2717

Given:

(p + q) = 11

pq = – 42

Concept:

⇒ a3 + b3 = (a + b)3 – 3ab × (a + b)

Calculation:

According to the question,

⇒ p3 + q3 = (p + q)3 – 3pq × (p + q)

⇒ p3 + q3 = 113 – 3 × (- 42) × 11

⇒ p3 + q3 = 1331 + 1386

⇒ p3 + q3 = 2717

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