SOLUTION: I'm having problems simplifying this rational expression: (y+5)/(y-5)-(y-6)/(y-7)+(2)/(y^(2)-12y+35) Wolfram Alpha claims that the most simplified solution is (9)/(7-5) but I

Algebra ->  Rational-functions -> SOLUTION: I'm having problems simplifying this rational expression: (y+5)/(y-5)-(y-6)/(y-7)+(2)/(y^(2)-12y+35) Wolfram Alpha claims that the most simplified solution is (9)/(7-5) but I      Log On


   

Question 677436: I'm having problems simplifying this rational expression:
(y+5)/(y-5)-(y-6)/(y-7)+(2)/(y^(2)-12y+35)
Wolfram Alpha claims that the most simplified solution is (9)/(7-5) but I can't figure out how to get there from the simplified solution I have, (9y-63)/((y-7)(y-5)).
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%28y%2B5%29%2F%28y-5%29+-+%28y-6%29%2F%28y-7%29+%2B+%282%29%2F%28y%5E2-12y%2B35%29
...
%28y%2B5%29%2F%28y-5%29+-+%28y-6%29%2F%28y-7%29+%2B+%282%29%2F%28%28y-7%29%28y-5%29%29
...
Create the common denominator

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%28%28y%2B5%29%28y-7%29-%28y-6%29%28y-5%29%2B2%29%2F%28%28y-7%29%28y-5%29%29
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Numerator
(y+5)(y-7) = y%5E2-7y%2B5y-35 = y%5E2-2y-35
(y-6)(y-5) = y%5E2-5y-6y%2B30 = y%5E2-11y%2B30
...
%28y%5E2-2y-35%29-%28y%5E2-11y%2B30%29%2B2
Distribute the negative
y%5E2+-+2y+-+35+-+y%5E2+%2B+11y+-+30+%2B+2
9y - 63
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-Reading Boosters
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