Question : If $p+q=6$ and $pq=4$, 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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Correct Answer: 432
Solution : Given, $p+q=6$ and $pq=4$ Cubing both sides, we get ⇒ $p^3+q^3+3pq(p+q)=216$ Substituting the values, we get ⇒ $p^3+q^3+3\times4(6)=216$ ⇒ $p^3+q^3=144$ ⇒ $3(p^3+q^3)=432$ Hence, the correct answer is 432.
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