Factor 216x^3-27y^3 STEP 1: Factor out a GCF, if there's one! There's one. STEP 2: Apply the DIFFERENCE of CUBES to the NEW binomial. STEP 3: Whatever factors you get in Step 2, check to make sure that they are PRIME. If so, you're done. If not, then continue factoring until the binomial is COMPLETELY factored.