Question: Another friend just got a quiz back and doesn’t understand how she got points taken off for the following problem:

x        1

----- - --------

x ² -4    x ² +4x+4

This is how she simplified it:

x(x ² +4x+4) - 1(x ² -4)

-------------------

(x ² -4)(x ² +4x+4)

x ³ +4x ² +4x-x ² +4

-------------

x ⁴ +4x ³ -16x-16

x ³ +3x ² +4x+4

------------

x ⁴ +4x ³ -16x-16

1+3x ² +1+1

---------

x ⁴ +4-4-4

3+3x ²

------

x ⁴ -4

3+3

-----

x ² -4

6

-----

x ² -4

Unfortunately, your friend doesn’t explain the steps she took, but you can see a number of problems.  Please explain to her what she did wrong (be specific) and show her the correct method for simplifying this problem, explaining each step.

Price: $2.99

Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document