Question

Factor Completely: 100x2 - 1

a. (25x - 1)(4+1)
b. (x - 10)(x + 10)
c. 10(x+1)(x+10)
d. (10x - 1)((10x +1)

Answer 1

d

Explanation:

100x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

100x² - 1

= (10x)² - 1²

= (10x - 1)(10x + 1) → d