How many terms are in the binomial expansion of (2x + 3)⁵? 
4, 5, 6, 7

Solution:

Number of terms in a binomial expansion of (x + y)ⁿ is

Number of terms N = n + 1

In the binomial expansion (2x + 3)⁵

n = 5

N = 5 + 1 = 6

Therefore, there are 6 terms.

Example:

How many terms are in the binomial expansion of (6x + 2)⁴?

Solution:

Number of terms in a binomial expansion of (x + y)n is

Number of terms N = n + 1

In the binomial expansion (6x + 2)⁴

n = 4

N = 4 + 1 = 5

Therefore, there are 5 terms.

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How many terms are in the binomial expansion of (2x + 3)⁵?

Summary:

In the binomial expansion of (2x + 3)⁵, there are 6 terms.