Question
Download Solution PDFIf a + \(\frac{1}{a}\) = 9 , then the value of a3 + \(\frac{1}{a^3}\) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
(a + b)3 = a3 + b3 + 3ab(a + b)
Calculations:
a + 1/a = 9
(a + 1/a)3 = 93
a3 + 1/a3 + 3a(1/a)(a + 1/a) = 729
a3 + 1/a3 + 3(9) = 729
a3 + 1/a3 = 729 - 27 = 702
Hence, The Required value 702.
Last updated on Jun 2, 2025
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