Question: The binomial x 6 - y 6 may be considered as either a difference of squares or a difference of cubes. Based on the answer

The binomial x⁶ - y⁶ may be considered as either a difference of squares or a difference of cubes.

Based on the answer in Exercise 75, fill in the blank with the correct factors so that x⁶ - y⁶ is factored completely.

Data from in Exercise 75

Factor x⁶ - y⁶ by first factoring as a difference of squares. Then factor further by considering one of the factors as a sum of cubes and the other factor as a difference of cubes.

x6y6 = (x - y) (x + y).

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