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
Answer (1)
27th Jan, 2024
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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