Answer:
Option 1st is correct
[tex](3x+5)(3x-5)[/tex]
Step-by-step explanation:
Using the identity rule:
[tex](a-+b)(a-b) = a^2-b^2[/tex]
Given the equation:
[tex]9x^2-25[/tex]
We can write [tex]9x^2[/tex] and 25 as:
[tex]9x^2 = (3x)^2[/tex]
[tex]25 = 5^2[/tex]
then;
[tex]9x^2-25 = (3x)^2-5^2[/tex]
Apply the identity rule:
[tex]9x^2-25 =(3x+5)(3x-5)[/tex]
Therefore, the complete factored of [tex]9x^2-25[/tex] is, [tex](3x+5)(3x-5)[/tex]
