Factor the expression \(64x^{3}-125\)

Step 1 ：Step 1: Recognize that this is a difference of cubes and it can be written as \((4x)^{3} - (5)^{3}\)

Step 2 ：Step 2: Apply the formula for factoring a difference of cubes, which is \(a^{3} - b^{3} = (a - b)(a^{2} + ab + b^{2})\). Here, a = 4x and b = 5

Step 3 ：Step 3: Substitute a and b into the formula to get \((4x - 5)((4x)^{2} + 4x*5 + (5)^{2}) = (4x - 5)(16x^{2} + 20x + 25)\)