How many terms are in the binomial expansion of (2x + 3)5?
We are going to use the concept of binomial expansion for finding the number of terms in the given question.
Answer: There are 6 terms in the binomial expansion of (2x + 3)5.
Let us see how we will use the concept step by step.
We know that,
The number of terms in any binomial expansion of (x + y)n is given by:
Number of terms (N) = n + 1
So, in the given binomial expansion (2x + 3)5, the value of n is:
n = 5
Therefore, N = 5 + 1 = 6
Note: There are (n + 1) terms in any expansion of a binomial if the binomial is having power ‘n’.