Question

Please answer !!!what is the product of the two binomials below?

(2A+3B)(2A-3B)
A. 4A²+ 9B²
B. 2A²- 3B²
C. 2A² + 3B²
D. 4A² - 9B²

Answer 1

Answer = D

Because:

(2A + 3B)(2A - 3B)
= 4A² - 6AB + 6AB - 9B²
= 4A² - 9B²

Answer 2

Answer: D.
`4A^2-9B^2`

Explanation:

Given expression :
`(2A+3B)(2A-3B)`

We know that there is an identity of product of two binomials :-

`(x+y)(x-y)=x^2-y^2`

In the given expression , we have
`x=2A\text{ and}\ y=3B`

Then by applying the above identity , we have

`(2A+3B)(2A-3B)=(2A)^2-(3B)^2\\\\=4A^2-9B^2`