SOLUTION: 58. 3/(x^2+4x+3)-1/(x^2-9)...(I do not have answers, I am confused.) 62. 4y/(y^2+6y+5)+2y/(y^2-1)...(I do not have answers, I am confused.) 36. (5a-12)/(a^2-8a+15)-(3a-

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 58. 3/(x^2+4x+3)-1/(x^2-9)...(I do not have answers, I am confused.) 62. 4y/(y^2+6y+5)+2y/(y^2-1)...(I do not have answers, I am confused.) 36. (5a-12)/(a^2-8a+15)-(3a-      Log On


   



Question 95996: 58. 3/(x^2+4x+3)-1/(x^2-9)...(I do not have answers, I am confused.)
62. 4y/(y^2+6y+5)+2y/(y^2-1)...(I do not have answers, I am confused.)
36. (5a-12)/(a^2-8a+15)-(3a-2)/(a^2-8a+15)...(I have 2/(a-3)as the answer,is it correct?)
24. x^2/(x-3)-9/(x-3)...(I have x+3 for the answer is it correct?)
Can I get some help please, pretty pretty please?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
58. 3%2F%28%28x%5E2%2B4x%2B3%29%29 - 1%2F%28%28x%5E2-9%29%29
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Factor to:
3%2F%28%28x%2B1%29%28x%2B3%29%29 - 1%2F%28%28x%2B3%29%28x-3%29%29
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Put both fractions over a common denominator
%283%28x-3%29+-+1%28x%2B1%29%29%2F%28%28x%2B1%29%28x%2B3%29%28x-3%29%29
:
%28%283x+-+9+-+x+-+1%29%29%2F%28%28x%2B1%29%28x%2B3%29%28x-3%29%29
:
%28%282x+-+10%29%29%2F%28%28x%2B1%29%28x%2B3%29%28x-3%29%29 = %282%28x+-+5%29%29%2F%28%28x%2B1%29%28x%2B3%29%28x-3%29%29; simplified expression
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62.
%284y%29%2F%28%28y%5E2%2B6y%2B5%29%29+%282y%29%2F%28%28y%5E2-1%29%29
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Factor:
%284y%29%2F%28%28y%2B1%29%28y%2B5%29%29+ %282y%29%2F%28%28y%2B1%29%28y-1%29%29
:
both fractions over a common denominator:
%284y%28y-1%29+%2B+2y%28y%2B5%29%29%2F%28%28y%2B1%29%28y%2B5%29%28y-1%29%29
:
%284y%5E2+-+4y+%2B+2y%5E2+%2B+10y%29%2F%28%28y%2B1%29%28y%2B5%29%28y-1%29%29
:
%286y%5E2+%2B+6y%29%2F%28%28y%2B1%29%28y%2B5%29%28y-1%29%29
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Factor out 6y
%286y%28y+%2B+1%29%29%2F%28%28y%2B1%29%28y%2B5%29%28y-1%29%29
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Cancel out the (y+1)'s
%286y%29%2F%28%28y%2B5%29%28y-1%29%29
:
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36. (5a-12)/(a^2-8a+15)-(3a-2)/(a^2-8a+15)...(I have 2/(a-3)as the answer,is it correct?)
Hey! That is the right answer, way to go!
:
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24. x^2/(x-3)-9/(x-3)...(I have x+3 for the answer is it correct?)
Right again! You just need a little help.