Question Detail

MTH 101 Binomial Expansion Objective Question

Question

Find the term independent of x in the expansion of (x + 1/x)^10.
Options
A C(10,5) = 252
Correct Answer
B C(10,4) = 210
C C(10,6) = 210
D C(10,3) = 120
Correct Answer

Option A is the correct answer.

Detailed Explanation

General term: T_r+1 = C(10,r) x^{10-r} * (1/x)^r = x^{10-2r}. Set exponent = 0 → 10-2r=0 → r=5 → T_6 = C(10,5) ✔.

Hint

Solve 10-2r=0 for r.

Question Info