Respuesta :

Answer:

Step-by-step explanation:

This is a difference of squares.

√x^2 - √49  is the basic formula for factoring a difference of squares. The  idea is that the middle term has been cancelled out.

√x^2 = x

√49 = 7

(x - 7)(x + 7) is the way this factors.

(x - 7)(x + 7)

===========

(x + 7)

The (x +7) in the numerator cancels with the (x + 7) in the denominator.

The answer is (x - 7)

====================================================

She might have wanted you to do it like this.

(x + 7) || x^2  + 0x    - 49  || x     -   7

            x^2 + 7x  ........... Subtract

           ==========

                   -7x      - 49

                   -7x      - 49   ...... Subtract.

                   =============

                           0

Or she might have seen you do this

x^2 - 49          x^2        49

=======   =   ===    -   =====

x + 7                x             7

Every math teacher freaks when they see this. I hope I didn't put ideas in your head.

But if you got the answer by doing what I did, you got it right.