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

Answer:

(x-10)(x+10)

Step-by-step explanation:

Here, the given expression,

$x^2-100$

$=(x)^2-(10)^2$

By using the identity $a^2-b^2=(a+b)(a-b)$

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

$=(x-10)(x+10)$   ( By the commutative property )

Since, further factorization is not possible,

Hence, the factors of $x^2-100$ are,

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

Second option is correct.