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Answer:
u⁶ - 64
Step-by-step explanation:
1. Recognize that the expression is in the form of a difference of squares a² - b², which can be factored as (a + b) (a - b)
2. Apply the difference of squares formula with
a = u³ and b = 8
3. Factor the expression:
(u³ + 8) (u³ - 8) = (u³)² - 8²
4. Calculate the squares:
(u³)² = u⁶ and 8² = 64
5. Substitute the squares into the expression:
u⁶ - 64