SOLUTION: Can you please help me solve this problem? I would greatly appreciate your help! <b> Find each sum or difference, and show all work.</b> y + 5/ y - 5 - 2y/ y^2 - 25 Thank you

Algebra ->  Algebra  -> Equations -> SOLUTION: Can you please help me solve this problem? I would greatly appreciate your help! <b> Find each sum or difference, and show all work.</b> y + 5/ y - 5 - 2y/ y^2 - 25 Thank you      Log On

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Question 35435: Can you please help me solve this problem? I would greatly appreciate your help! Find each sum or difference, and show all work.
y + 5/ y - 5 - 2y/ y^2 - 25
Thank you!
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming that you probably meant this fraction:
%28y+%2B+5%29%2F+%28y+-+5%29+-+%282y%29%2F+%28y%5E2+-+25%29

First, factor the second denominator in order to find the LCD:
%28y+%2B+5%29%2F+%28y+-+5%29+-+%282y%29%2F+%28%28y+-+5%29%2A%28y%2B5%29%29
The LCD is %28y-5%29%2A%28y%2B5%29

Now, in order to subtract the fractions, you must get the LCD in the first fraction, by multiplying the numerator and denominator of the first fraction by (y+5).
+%28%28y+%2B+5%29%2F%28y+-+5%29%29%2A%28%28y%2B5%29%2F%28y%2B5%29%29+-+%282y%29%2F+%28+%28y+-+5%29%2A%28y%2B5%29+%29++

Multiply out the first numerator:
+%28y%5E2+%2B+10y+%2B25%29%2F+%28%28y+-+5%29%2A%28y%2B5%29%29+-+%282y%29%2F+%28%28y+-+5%29%2A%28y%2B5%29%29

Combine the numerators:
+%28y%5E2+%2B8y+%2B+15%29+%2F+%28%28y-5%29%2A%28y%2B5%29%29+

R^2 at SCC