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