Question

Help please been trying to figure these out and I want to learn

Answer 1

Given:

Two binomials are given.

`(2A+3B)(2A-3B)`

Required:

Find the product of the binomials.

Step-by-step explanation:

The given binomials are:

`(2A+3B)(2A-3B)`

Use the following identity

`(a+b)(a-b)=a^2-b^2`
`\begin{gathered} (2A+3B)(2A-3B)=(2A)^2-(3B)^2 \\ (2A+3B)(2A-3B)=4A^2-9B^2 \end{gathered}`

This matches with option D.

Final Answer:

Option D is the correct answer.