SOLUTION: Subtract. Write your answer in simplest form: y-2 y ---- - ----- y+3 2y+6 Here are the four answers I have to choose from: a) y^2 + y - 12 ----------- --

Algebra ->  Equations -> SOLUTION: Subtract. Write your answer in simplest form: y-2 y ---- - ----- y+3 2y+6 Here are the four answers I have to choose from: a) y^2 + y - 12 ----------- --       Log On


   

Question 70534: Subtract. Write your answer in simplest form:
y-2 y
---- - -----
y+3 2y+6
Here are the four answers I have to choose from:
a) y^2 + y - 12
--------------
(y+3)(2y+6)
b) 3y - 4
---------
2(y+3)
c) y-2
-----
y+3
d) y-4
--------
2(y+3)
I just do not understand how they have come up with one of these answers, thank you for the help!
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Subtract. Write your answer in simplest form:
%28y-2%29%2F%28y%2B3%29-y%2F%282y%2B6%29
In order to add or subtract fractions they have to have the same denominators (bottoms), whatever you do to the denominator to get that, you have to do to the numerator (top). To find the lowest common denominator (LCD), factor your denominators.
%28y-2%29%2F%28y%2B3%29-y%2F%282%28y%2B3%29%29 The LCD is 2(y+3)
2%28y-2%29%2F%282%28y%2B3%29%29-y%2F%282%28y%2B3%29%29
%282%28y-2%29-%28y%29%29%2F%282%28y%2B3%29%29
%282y-4-y%29%2F%282%28y%2B3%29%29
highlight%28%28y-4%29%2F%282%28y%2B3%29%29%29 "d" on your multiple choice.
Happy Calculating!!!!