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Parts (a) through (d) of problem 12-72 represent a general pattern known as the sum and difference of cubes. Use this pattern to factor each of the following polynomials.

The sum and difference of cubes formulas are:

  1. Factor using the sum of cubes formula.

  2. Now factor using the difference of cubes formula.

  3. Now factor using the sum of cubes formula.

  4. Make up another problem involving the sum or difference of cubes and show how to factor it.