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

Solution:

Given, (3x + 5)⁹ 

We have to find the number of terms in the binomial expansion of  (3x + 5)⁹

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

N = p + 1

Here, p = 9

So, N = 9 + 1

N = 10

Therefore, the number of terms in the given binomial expansion will be 10.

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

Summary:

There are 10 terms in the binomial expansion of (3x + 5)⁹.