How do I simplify: 3w-4/w^2+5w+4 + 2w-3/w^2+2w-8?

Question

anonymous · Answer

3 w - 4                            2w - 3
------------     +    -----------
(w + 4)(w + 1)             (w + 4)(w - 2)

Now you need a common denominator

anonymous · Answer

I keep getting the answer: 5w^2-9w-5/(w+1)(w+4)(1=2)... but the answer is 5w^2-11w+5/(w+1)(w+4)(w-2)

anonymous · Answer

common denominator is   (w + 4)(w - 2)(w + 1)

anonymous · Answer

(w - 2)(3w-4)                       (w + 1)(2w - 3)
-------------            +    ----------------
(w + 4)(w - 2)(w + 1)            (w + 4)(w - 2)(w + 1)

Now foil the tops

anonymous · Answer

OOPS
first one is 3w^2 - 4w - 6w + 8        and the second one is 2w^2 - 3w + 2w -3

anonymous · Answer

ohh..

anonymous · Answer

so    adding these
5w^2 -11w + 5
--------------
(w + 4)(w - 2)(w + 1)

anonymous · Answer

ohhh!! thank you!