Question

Factor completely x^2-48

Answer 1

Answer: $(x-7)(x+7)$

Step-by-step explanation:

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

- Make the equation equal to zero:

$x^{2}-49=0$

-Add 49 at both sides:

$x^{2}=49$

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

$x=\sqrt{49}\\x_1=7\\x_2=-7$

- Then you have:

$x^{2}-49=$$(x-7)(x+7)$