Algebra-1

To factorize the expression 256x⁸ - 1, we can recognize it as a difference of squares.

We know that 256x⁸ can be written as (16x⁴)² and 1 is a perfect square, specifically 1².

The expression 256x⁸ - 1 can be rewritten as (16x⁴)² - 1².

Now we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b).

Applying this formula, we have: (16x⁴)² - 1² = (16x⁴ + 1)(16x

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