What is the number of terms in the given expression?
2023
What is the number of terms in the given expression?


Answer: A. 12 — A binomial expansion (a + b)ⁿ contains n + 1 terms unless some terms merge after simplification. Here, (x² + 2/x)¹¹ has 11 + 1 = 12 terms. Checking the…
- A.
12
- B.
22
- C.
11
- D.
24
Attempted by 138 students.
Show answer & explanation
Correct answer: A
A binomial expansion
(a + b)ⁿ
contains n + 1 terms unless some terms merge after simplification.
Here,
(x² + 2/x)¹¹
has
11 + 1 = 12
terms.
Checking the powers:
22, 19, 16, 13, 10, 7, 4, 1, −2, −5, −8, −11
All are distinct.
Hence no terms merge.
Answer
12 (Option A) ✅
Loading lesson…