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 $(3x-5)^9.$