Please help!! This is my last question and I am STUCK. For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Part A: Can the polynomial 82x^12y^6+14-18x^12y^6-1 3 be factored using the sum of cubes, difference of cubes, or neither?

Part B: Explain your answer to Part A.

Part C: If possible, factor the polynomial given in Part A. Show all work.