SOLUTION: ((4x^2 - 16)/(2-x)). Again worked hard, I know the answer is -4(x + 2) but I am not getting the steps to that answer.

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Question 421433: ((4x^2 - 16)/(2-x)). Again worked hard, I know the answer is -4(x + 2) but I am not getting the steps to that answer.

Found 2 solutions by stanbon, algebrahouse.com:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
((4x^2 - 16)/(2-x)).
Factor:
[4(x^2-4)]/ [-(x-2)]
-----
= [4(x-2)(x+2)] / [-(x-2)]
---
= [4(x+2)]/(-1)
----
= -4(x+2)
===============
Cheers,
Stan H.
================



Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
"((4x^2 - 16)/(2-x)). Again worked hard, I know the answer is -4(x + 2) but I am not getting the steps to that answer."

4x^2 - 16
---------
2 - x

4(x^2 - 4)
---------- {factored 4 out of top, and flipped bottom around}
-x + 2

4(x + 2)(x - 2)
--------------- {factored top into two binomials, and factored -1 out of bottom}
-1(x - 2)

= -4(x + 2) {cancelled x - 2 on top and bottom}
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