Answer: The correct option is (B) [tex]16x^2-9y^2.[/tex]
Step-by-step explanation: We are given to find the following product :
[tex]P=(4x+3y)(4x-3y)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the given product, we will be using the following formula :
[tex](a+b)(a-b)=a^2-b^2.[/tex]
The product (i) can be calculated as follows :
[tex]P\\\\=(4x+3y)(4x-3y)\\\\=(4x)^2-(3y)^2\\\\=16x^2-9y^2.[/tex]
Thus, the required product is [tex]16x^2-9y^2.[/tex]
Option (B) is CORRECT.
