Question

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

Answer 1

the answer is C , 10

Answer 2

Answer: The number of terms in the binomial expansion of
`(3x-5)^9` is 10.

Step-by-step explanation: We are given to find the number of terms in the following binomial expansion:

`B=(3x-5)^9~~~~~~~~~~~~~~~~~~~~~(i)`

We know that

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

`N_t=p+1.`

In the given binomial expansion (i), we have

`p=9.`

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

`N_t=p+1=9+1=10.`

Thus, there are 10 terms in the binomial expansion of
`(3x-5)^9.`