How do you solve, 8a^3 + c^3- factor?
You can’t “solve” it because it isn’t an equation, but you can factor it. There is a sum of cubes pattern that you have to memorize.
x³ + y³ = (x + y)(x² - xy +y²)
For your expression, 8a³ = (2a)³. So, you can substitute (2a) for x and c for y in the above pattern
(2a)³ + c³ = ((2a) + c)((2a)² - (2a)c +c²)
= (2a + c)(4a² - 2ac +c²)
Here is a tutorial