Algebra-1

To factorize the expression 64x²y² - 100p⁴q⁴, we can recognize it as a difference of squares.

We know that 64x²y² can be written as (8xy)² and 100p⁴q⁴ can be written as (10p²q²)².

The expression 64x²y² - 100p⁴q⁴ can be rewritten as (8xy)² - (10p²q²)².

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

Applying this formula, we have:(8xy)² - (10p²q²)² = (8xy + 10p