Addtion of Rational Expressions - Help

[mcruz65]

   -2    +    4y    +    6
-------    -------    -----                LCD = (y+3) (y-3) (y-3)
y^2 - 9    (y-3)^2     3-y

   -2       +    4y      +     6
----------    ----------    -------
(y+3)(y-3)    (y-3)(y-3)   -1(3-y)

   -2       +    4y      +    -6
----------    ----------    -------
(y+3)(y-3)    (y-3)(y-3)     (y-3)

   -2(y-3)      +    4y(y+3)      +    -6(y+3)(y-3)
---------------   ---------------    ---------------
(y+3)(y-3)(y-3)   (y+3)(y-3)(y-3)    (y+3)(y-3)(y-3)

    -2y+6       +    4y^2+12y     +    -6y^2 + 54
---------------   ---------------    --------------- 
(y+3)(y-3)(y-3)   (y+3)(y-3)(y-3)    (y+3)(y-3)(y-3)

-2y^2 + 10y + 60
----------------
(y+3)(y-3)(y-3)

 

[Loren]

You don't say what your question is. However, I have two suggestions.
1) The last term in the second line is not equal to the last term in the first line. Your notation is bad. However, I see that you have come up with a correction so that the last term in the third line is correct.
2) You might want to factor out a 2 or a -2 in the numerator of your answer.