Respuesta :

Answer: [tex](x-7)(x+7)[/tex]


Step-by-step explanation:

To solve this problem you must apply the proccedure shown below;

- Make the equation equal to zero:

[tex]x^{2}-49=0[/tex]

-Add 49 at both sides:

[tex]x^{2}=49[/tex]

- Now, you must take the square root of both sides of the equation, then you obtain the following roots:

[tex]x=\sqrt{49}\\x_1=7\\x_2=-7[/tex]

- Then you have:

[tex]x^{2}-49=[/tex][tex](x-7)(x+7)[/tex]