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3 years ago

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

Mathematics

2 answers:

Yuki888 [10]3 years ago

8 0

the answer is C , 10

Brrunno [24]3 years ago

8 0

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 $(3x-5)^9.$

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