100x(second power) - 64y(second power)+

To simplify the expression 100x^2 - 64y^2, you can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 100x^2 - 64y^2. Let's factor it using the difference of squares formula:

100x^2 - 64y^2 = (10x)^2 - (8y)^2

Now we can see that a = 10x and b = 8y, so we can rewrite the expression as:

(10x + 8y)(10x - 8y)

Therefore, the simplified form of 100x^2 - 64y^2 is (10x + 8y)(10x - 8y).