To factorize the expression 36x
6 - 100y
6, we can recognize it as a difference of squares.
We know that
36x6 can be written as (6x
3)² and
100y6 can be written as (10y
3)².
The expression
36x6 - 100y6 can be rewritten as (
6x3)² - (
10y3)².
Now we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b).
Applying this formula, we have: (
6x3)² - (
10y3)² = (
6x3 +
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