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:

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.