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

Answer:

$(x+10)(x-10)$

Step-by-step 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)