Question
Download Solution PDFIf p + q = 6 and pq = 4, then what is the value of \(3\left( {{p^3} + {q^3}} \right)\)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
p + q = 6
pq = 4
Concept used:
(a + b)3 = a3 + b3 + 3ab(a + b)
Calculation:
(p + q)3 = p3 + q3 + 3pq(p + q)
(6)3 = p3 + q3 + 3x4(6)
p3 + q3 = 216 - 72
p3 + q3 = 144
now,
3(p3 + q3 ) = 3 x 144
= 432
Hence, the correct answer is '432'.
Last updated on Jul 14, 2025
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