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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

2 Answers

2 votes
Answer = D

Because:

(2A + 3B)(2A - 3B)
= 4A² - 6AB + 6AB - 9B²
= 4A² - 9B²
User Joao Lopes
by
7.5k points
5 votes

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

User Tamjid
by
8.1k points

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