Answer: [tex](x-6)(x+6)[/tex]
Step-by-step explanation:
We observe that [tex]x^2 - 36[/tex] has the "Difference of squares" form. Then, we need to apply:
[tex](a-b)(a+b)=a^2 - b^2[/tex]
Since:
[tex]x^2=x*x\\\\36=6*6=6^2[/tex]
We can rewrite the polynomial:
[tex]x^2 - 6^2[/tex]
We can identify that:
[tex]a=x\\b=6[/tex]
Knowing this, we can factor it completely. Then, we get:
[tex]x^2 - 6^2=(x-6)(x+6)[/tex]
