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]