my name is Athena and I have a question on factoring: how would you figure this out:

(x⁶-y⁶) and (x⁶+y⁶)

i'm a student in 9th grade algebra 2

What you have to do here is to see x⁶ as (x²)³ and y⁶ as (y²)³. Maybe it helps to write a for x² and b for y², then

Now factor a³ - b³ and a³ + b³. When you are finished that step substitute x² for a and y² for b and see if you can continue factoring.