Use the sum of cubes formula: (a^3+b^3=(a+b)(a^2-ab+b^2))
Use the difference of cubes formula: (a^3-b^3=(a-b)(a^2+ab+b^2))
Identify each term as a perfect cube
Rewrite the expression in cube form if needed
Factor out any common factor first
Apply the appropriate cube formula
Check the signs carefully
Verify by multiplying the factors back together