Question
Download Solution PDFजर p + q = 6 आणि pq = 4, तर \(3\left( {{p^3} + {q^3}} \right)\) चे मूल्य किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
p + q = 6
pq = 4
वापरलेली संकल्पना:
(a + b)3 = a3 + b3 + 3ab(a + b)
गणना:
(p + q)3 = p3 + q3 + 3pq(p + q)
(6)3 = p3 + q3 + 3 × 4(6)
p3 + q3 = 216 - 72
p3 + q3 = 144
आता,
3(p3 + q3) = 3 × 144
= 432
म्हणून, '432' हे योग्य उत्तर आहे.
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