Question

What are the factors of x2 – 100? (x – 50)(x 50) (x – 10)(x 10) (x – 25)(x 4) (x – 5)(x 20)

Answer 1

(x + 10)(x - 10)

Explanation:

x² - 100 = x²- 10²

x² - 100 is the difference of two squares.

The factorization of the difference of two squares is

a² - b² = (a + b)(a - b)

x² - 100 = (x + 10)(x - 10)