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

# 8, 9, 10, or 11?

We will use the concept of binomial expansion in order to find the number of terms.

## Answer: Total no of terms in the binomial expansion of (3x + 5)^{9 }= 10

Let us see how we will use the concept of binomial expansion in order to find the number of terms.

**Explanation**:

Let us expand our binomial expression that is (3x + 5)^{9}

The number of terms in the binomial expansion of (x + y)^{p} is given by

N = p + 1

Here, we have p = 9

Therefore, N = 9 + 1 = 10

### Hence, there are 10 terms in the binomial expression of (3x + 5)^{9}

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