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

x² - 100 = x² - 10² = (x-10)(x+10)

Answer 2

`(x+10)(x-10)`

Explanation:

Given :
`x^(2) -100`

To Find : What are the factors of
`x^(2) -100`

Solution:

`x^(2) -100`

Since 100 =
`10^(2)`

`x^(2) -10^(2)`

using property :
`a^(2) -b^(2) =(a+b)(a-b)`

`(x+10)(x-10)`

Thus the factors of
`x^(2) -100` are (x+10) and (x-10)