Question : If $p + q = 6$ and $p q = 4$ , then what is the value of $3 (p^{3} + q^{3})$ ?
Option 1: 512
Option 2: 144
Option 3: 288
Option 4: 432

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Question : If $a = - 12, b = - 6$ , and $c = 18$ , then what is the value of $\frac{2 a b c}{9}$ ?

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Answer 1

Correct Answer: 432

Solution : Given, $p + q = 6$ and $p q = 4$
Cubing both sides, we get
⇒ $p^{3} + q^{3} + 3 p q (p + q) = 216$
Substituting the values, we get
⇒ $p^{3} + q^{3} + 3 \times 4 (6) = 216$
⇒ $p^{3} + q^{3} = 144$
⇒ $3 (p^{3} + q^{3}) = 432$
Hence, the correct answer is 432.

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Question : If p+q=6 and pq=4, then what is the value of 3(p3+q3)?Option 1: 512Option 2: 144Option 3: 288Option 4: 432

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Question : If $p + q = 6$ and $p q = 4$ , then what is the value of $3 (p^{3} + q^{3})$ ?
Option 1: 512
Option 2: 144
Option 3: 288
Option 4: 432