SOLUTION: I am in need of some help with this algebra.... Add simplify by removing a factor of 1 if possible. 4 w+5 3 ---- + ----- + ----- w+2 w^2-4 w-2 Than

Question 205830: I am in need of some help with this algebra....
Add simplify by removing a factor of 1 if possible.
4 w+5 3
---- + ----- + -----
w+2 w^2-4 w-2
Thank you so much!!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
simplify by removing a factor of 1 if possible.
4 w+5 3
---- + ----- + -----
w+2 w^2-4 w-2

----------------------------------
The lcd is (x-2)(x+2)
-----------------------------
Rewrite each fraction with the lcd as its denominator:
---
[4(w-2)]/lcd + (w+5)/lcd + [3(w+2)]/lcd
-------------------------------------------------
Combine the numerators over the lcd
=============================================
[4w-8 + w+5 + 3w+6]/lcd
---
Simplify:
[8w+3]/[w^2-4]
=========================
Cheers,
Stan H.
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