Step-by-step explanation:
Given expression is :
[tex]9x^2-4[/tex]
We can write it as :
[tex](3x)^2-2^2[/tex]
Now using identity : [tex]a^2-b^2=(a-b)(a+b)[/tex]
Here, a = 3x and b = 2
So,
[tex](3x)^2-2^2=(3x-2)(3x+2)[/tex]
Hence, the given expression is equivalent to (3x - 2)(3x + 2) .