Question

Factor completely 100x2 − 49. (7x − 10)(7x 10) (7x − 10)(7x − 10) (10x − 7)(10x 7) (10x − 7)(10x − 7)

Answer 1

To factor this take the square root of both terms.

100x^2 - 49

(10x - 7)(10x + 7)

I believe this would be the completely factored expression.

Answer 2

Answer: The correct option is

(C)
`(10x-7)(10x+7).`

Step-by-step explanation: We are given to factor completely the following quadratic expression :

`E=100x^2-49~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following factorization formula :

`a^2-b^2=(a-b)(a+b).`

The factorization of expression (i) is as follows :

`E\\\\=100x^2-49\\\\=(10x)^2-7^2\\\\=(10x-7)(10x+7).`

Thus, the required factored form of the given expression is
`(10x-7)(10x+7).`

Option (C) is CORRECT.