How do I find the term independent of x in the expansion of (x + 1/x)^10?
I know the general term in the binomial expansion but I am not sure how to set up the equation to find which term has x^0 (independent of x). Please show the step-by-step method.
1 Answer
AKAditya Kumar
✓ Accepted
· 13d ago
▲ 9
General term: T(r+1) = C(10,r) * x^(10-r) * (1/x)^r = C(10,r) * x^(10-2r). For term independent of x, set exponent to 0: 10-2r = 0, so r = 5. The term is C(10,5) = 252.
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