Answer:
(2x)^2 - (3)^2 = (2x - 3)(2x + 3)
a^2 - b^2 = (a -b)(a +b). This is called "difference of squares identity."
Step-by-step explanation:
The given expression is [tex]4x^2 - 9[/tex]
We have to use the identity a^2 - b^2 = (a -b)(a +b). This is called "difference of squares identity."
We can write 4x^2 = (2x)^2 and 9 = (3)^2
So we can write the given expression as (2x)^2 - (3)^2
Using the difference of squares identity, we can factor it as
(2x)^2 - (3)^2 = (2x - 3)(2x + 3)
