Given:
Two binomials are given.
[tex](2A+3B)(2A-3B)[/tex]
Required:
Find the product of the binomials.
Explanation:
The given binomials are:
[tex](2A+3B)(2A-3B)[/tex]
Use the following identity
[tex](a+b)(a-b)=a^2-b^2[/tex][tex]\begin{gathered} (2A+3B)(2A-3B)=(2A)^2-(3B)^2 \\ (2A+3B)(2A-3B)=4A^2-9B^2 \end{gathered}[/tex]
This matches with option D.
Final Answer:
Option D is the correct answer.
