The factor of (216x3 - 64y3) are

The given expression is a difference of cubes, which can be factored using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Step 1: Identify a and b such that the given expression can be written in the form a^3 - b^3. Here, a = 6x and b = 4y because (6x)^3 = 216x^3 and (4y)^3 = 64y^3.

Step 2: Substitute a and b into the formula. This gives us (6x - 4y)((6x)^2 + (6x)(4y) + (4y)^2).

Step 3: Simplify the second factor. This gives us (6x - 4y)(36x^2 + 24xy + 16y^2).

So, the factors of 216x^3 - 64y^3 are (6x - 4y) and (36x^2 + 24xy + 16y^2).