To factorize the expression 16x⁴ - 81, we can recognize it as a difference of squares.
We know that 16x⁴ can be written as (4x
²)² and 81 is a perfect square, specifically 9².
The expression
16x⁴ - 81 can be rewritten as (
4x²)² - 9².
Now we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b).
Applying this formula, we have: (
4x²)² - 9² = (
4x² + 9)(
4x² - 9) =
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