Question Detail
Question
The term independent of x in (x² + 1/x)⁶ is:
Correct Answer
Option A is the correct answer.
Detailed Explanation
General term: C(6,k) (x²)^(6-k) (1/x)^k = C(6,k) x^(12-2k) x^(-k) = C(6,k) x^(12-3k). For independent term, 12-3k=0 ⇒ k=4. Term = C(6,4)=15, so constant term is 15. Notes indicate A (x⁰).
Hint
The notes indicate answer A.