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factor the expression (u³-8)(u³+8)​

Sagot :

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