how many terms are in the binomial expansion of (3x + 5)^9?\n8\n9\n10\n11

Explanation:

Step1: Recall binomial - expansion formula

The binomial expansion of ((a + b)^n=\sum_{k = 0}^{n}C(n,k)a^{n - k}b^{k}), and the number of terms is (n+1).

Step2: Identify the value of (n)

In the binomial ((3x + 5)^9), (n = 9).

Step3: Calculate the number of terms

Using the formula (n + 1), when (n=9), the number of terms is (9 + 1=10).

Answer:

10