If p + q = 6 and pq = 4, then what is the value of 3(p³ + q³)?
Correct Answer: 432
Subject: Mathematics
Explanation: We know the algebraic identity: p³ + q³ = (p + q)³ - 3pq(p + q).
Substituting the values:
p³ + q³ = (6)³ - 3(4)(6) = 216 - 72 = 144.
The required value is 3(p³ + q³) = 3 × 144 = 432.