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

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mpanderla95 mpanderla95 · Answer 1 · 2016-10-01T08:24:31+02:00

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.

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ColinJacobus ColinJacobus · Answer 2 · 2019-07-15T17:57:08+02:00

Answer: The correct option is

(C) [tex](10x-7)(10x+7).[/tex]

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

[tex]E=100x^2-49~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following factorization formula :

[tex]a^2-b^2=(a-b)(a+b).[/tex]

The factorization of expression (i) is as follows :

[tex]E\\\\=100x^2-49\\\\=(10x)^2-7^2\\\\=(10x-7)(10x+7).[/tex]

Thus, the required factored form of the given expression is [tex](10x-7)(10x+7).[/tex]

Option (C) is CORRECT.