Answer:
Option A is correct
[tex]5(x+3)(x-3)[/tex]
Step-by-step explanation:
Using identity rule:
[tex](x^2-a^2) = (x-a)(x+a)[/tex]
To factor completely:
[tex]5x^2-45[/tex]
Take 5 common out we have;
[tex]5(x^2-9)[/tex]
Apply the identity rule
then;
[tex]5(x+3)(x-3)[/tex]
Therefore, the complete factored of the given equation is: [tex]5(x+3)(x-3)[/tex]