Answer:
Step one: Decide if the two terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer. In this case, the two terms only have a 1 in common which is of no help.
Step 2: Rewrite the original problem as a difference of two perfect cubes.
Step 3a: “Write What You See” If you disregard the parenthesis and the cubes in step 2, you should see:
Step 3b: “Square-Multiply-Square” If you square the first term, x, you get x2. If you multiply the two terms, x and 4, you get 4x. Finally, if you square the second term, 4, you get 16.
Step 3c: “Same, Different. End on a Positive” This will determine the signs of the problem. The first sign should be the same as the original question, the next sign should be different then the first, and the last sign should always be positive.
Step 4: Write the final answer.
Step-by-step explanation:
