Answer: D. [tex]4A^2-9B^2[/tex]
Step-by-step explanation:
Given expression : [tex](2A+3B)(2A-3B)[/tex]
We know that there is an identity of product of two binomials :-
[tex](x+y)(x-y)=x^2-y^2[/tex]
In the given expression , we have [tex]x=2A\text{ and}\ y=3B[/tex]
Then by applying the above identity , we have
[tex](2A+3B)(2A-3B)=(2A)^2-(3B)^2\\\\=4A^2-9B^2[/tex]
