SOLUTION: Please help me solve this :{{{ (-1)/(b^2-4)}}}-{{{(-2)/(b^2-4b-12) }}} Here is what I have I'm not sure if I simiplfied to little or to much my LCD is (b-2)(b+2)(b-6) {{{(-1)(b

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Question 522695: Please help me solve this :-
Here is what I have I'm not sure if I simiplfied to little or to much my LCD is (b-2)(b+2)(b-6)
-
I'm left with this after I multiply by LCD and do the subtraction -b+6+2b-4= b+2

Any help is very much appreciated.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(-1)/(b^2-4)}}}-(-2)/(b^2-4b-12)
------------
Factor where you can:
[-1/(b-2)(b+2)] - [-2/(b-6)(b+2)]
---
lcd = (b-2)(b+2)(b-6)
----
Rewrite each fraction with the lcd as its denominator:
--------
[-(b-6)]/lcd - (-2(b+2)]/lcd
---
Combine the numerators over the lcd:
---
[-b+6-2b-4]/lcd
----
Simplify:
[-3b+2]/[(b^2-4)(b-6)]
============================
Cheers,
Stan H.
=================

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