Factor. \[ 64 x^{2}-25 y^{2} \]

Step 1 ：This is a difference of squares problem. The difference of squares formula is a^2 - b^2 = (a - b)(a + b). In this case, a = 8x and b = 5y.

Step 2 ：Substitute a and b into the formula, we get (8x - 5y)(8x + 5y).

Step 3 ：Final Answer: \(\boxed{(8x - 5y)(8x + 5y)}\)