Answer: The correct option is (B) [tex](2b+3)(2b-3).[/tex]
Step-by-step explanation: We are given to factorize the following expression :
[tex]E=4b^2-9.[/tex]
We will be using the following factorization formula :
[tex]a^2-b^2=(a+b)(a-b).[/tex]
The factorization is as follows :
[tex]E\\\\=4b^2-9\\\\=(2b)^2-3^2\\\\=(2b+3)(2b-3).[/tex]
Thus, the required factored form is [tex](2b+3)(2b-3).[/tex]
Option (B) is CORRECT.
