What are the
factors of the binomial
x² - 100?

(x - 10)(x + 10)

Step-by-step explanation:

x^2 - 100 = (x - 10)(x + 10) <==

what u have here is a difference of squaresx^2 is a perfect square(x)^2 and 100 is a perfect square (10)^2

u see : x^2 - 100 = (x)^2 - (10)^2 = (x - 10)(x + 10)

                               a^2 - b^2 = (a - b)(a + b)

now a difference of squares cannot be done if it was x^2 + 100

(x + 10)(x - 10)

Step-by-step explanation: In this problem, we have a binomial that's the difference of two squares because x² and 100 are both perfect squares and we are subtracting these two squares.

So we set up our two binomials and in the first position we have x · x. In the second position, we use + 10 and -10 as our factors of -100.

So our answer is (x + 10)(x - 10).