If (a + (1/a)) = 6, determine the value of (a3 + a-3).  Ops:   A. 186    B. 210    C. 0    D. 198

Question

If (a + (1/a)) = 6, determine the value of (a3 + a-3).  Ops:   A. 186    B. 210    C. 0    D. 198
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Solution 1

To solve this problem, we need to use the formula for the cube of a binomial, which is (a+b)³ = a³ + 3a²b + 3ab² + b³.

Step 1: Given that (a + (1/a)) = 6, we can square both sides to get (a² + 2 + 1/a²) = 36.

Step 2: Rearrange the equation to get a² + 1/a² = 36 - 2 = 34.

Step 3: Now, we cube the Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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