Respuesta :
Answer: the correct option is
(A) [tex](13x+8)(13x-8).[/tex]
Step-by-step explanation: We are given to factor the following expression completely :
[tex]E=169x^2-64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using he following factorization formula :
[tex]a^2-b^2=(a+b)(a-b).[/tex]
From (i), we get
[tex]E\\\\=169x^2-64\\\\=(13x)^2-8^2\\\\=(13x+8)(13x-8).[/tex]
Thus, the required factored form of the given expression is [tex](13x+8)(13x-8).[/tex]
Option (A) is CORRECT.
