# How many terms are in the binomial expansion of (3x + 5)^{9}?

We will be using the concept of binomial expansion for finding the number of terms.

## Answer: There are 10 terms in the binomial expansion of (3x + 5)^{9}.

Let us see how we will use the concept.

**Explanation**:

We know that the number of terms in any binomial expansion of (x + y)^{n} is given by:

Number of terms (N) = n + 1

So, in the given binomial expansion (3x + 5)^{9}, we have:

n = 9

Therefore, N = 9 + 1 = 10