To factorize the expression a
6 - 64b
6, we can recognize it as a difference of squares.
We know that a6 can be written as (a
3)² and 64b
6 can be written as (8b
3)².
The expression
a6 - 64b6 can be rewritten as (
a3)² - (
8b3)².
Now we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b).
Applying this formula, we have: (
a3)² - (
8b3)² = (
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