Question

How many terms does the binomial expansion (a+b)10 have?
A. 9
B. 10
C. 11
D. 3

Answer 1

The binomial expansion of (a+b)^10 has 11 terms, as the number of terms is always one more than the exponent in the binomial theorem.

Step-by-step explanation:

The number of terms in the binomial expansion of (a+b)10 can be found using the formula for the expansion of a binomial expression, which is given by:

(a + b)n = an + n(an-1b) + n(n-1)/2(an-2b2) + ... + bn.

The number of terms in a binomial expansion is always one more than the exponent, because the expansion starts with the term an and ends with the term bn, including all the intermediate terms where the powers of a and b add up to n. So, for the binomial expansion of (a+b)10, there are 11 terms.