anthonybruno200 anthonybruno200
  • 03-08-2017
  • Mathematics
contestada

Factor completely 36x2 − 49.


A (3x + 7)(12x − 7) B (3x − 7)(12x + 7) C (6x − 7)(6x − 7) D (6x + 7)(6x − 7)

A B C D ?

Respuesta :

helpfulish
helpfulish helpfulish
  • 03-08-2017
The answer is D.

6x * 6x = 36x^2
6x * -7 = -42x
6x * 7 = 42x
-7 * 7 = -49

The -42x and 42x cancel each other out, resulting in 36x^2 - 49.
Answer Link
DelcieRiveria DelcieRiveria
  • 06-05-2019

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

[tex]36x^2-49[/tex]

It can be written as

[tex](6x)^2-(7)^2[/tex]

Using the formula

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

[tex](6x)^2-(7)^2=(6x+7)(6x-7)[/tex]

Therefore the complete factor form of given expression is (6x+7)(6x-7). The correct option is D.

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