How do you factor #54x^3 - 2y^3#?
Step 1: Always factor out a GCF first, if possible.
In this particular problem, we can factor out 2:
Step 2: Count the number of terms:
—if 2 terms, check if problem is:
difference of squares
difference of cubes
sum of cubes
Plugging these values into the difference of cubes formula:
Putting it all together: