completely factor the difference of two squares
x^2 - 64
(x+8)(x-8)
To completely factor the difference of two squares, we need to find two binomial expressions that, when multiplied together, give us the original expression.
The difference of two squares is a special case where we have a square term subtracted by another square term. In this case, we have x^2 - 64, which can be written as (x)^2 - (8)^2.
To factor this expression, we can use the formula for a difference of squares, which states that a^2 - b^2 can be factored as (a + b)(a - b). In our case, a = x and b = 8.
Therefore, the completely factored form of x^2 - 64 is (x + 8)(x - 8).