SOLUTION: I need to simplify this [(1)/(x+1)]/[(1)/(x^2)-2x-3)+(1)/(x-3)] the answer is (x-3)/(x+2) Thank you for your time and help

Algebra ->  Rational-functions -> SOLUTION: I need to simplify this [(1)/(x+1)]/[(1)/(x^2)-2x-3)+(1)/(x-3)] the answer is (x-3)/(x+2) Thank you for your time and help      Log On


   

Question 988279: I need to simplify this [(1)/(x+1)]/[(1)/(x^2)-2x-3)+(1)/(x-3)]

the answer is (x-3)/(x+2)

Thank you for your time and help
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
[(1)/(x+1)]/[(1)/(x^2)-2x-3)+(1)/(x-3)]
%281%2F%28x%2B1%29%29%2F%281%2F%28x%5E2-2x-3%29%2B1%2F%28x-3%29%29 Factor quadratic in denominator.
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%281%2F%28x%2B1%29%29%2F%281%2F%28%28x-3%29%28x%2B1%29%29%2B1%2F%28x-3%29%29 Multiply by (x-3)/(x-3)
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%28%28x-3%29%2F%28x%2B1%29%29%2F%281%2F%28x%2B1%29%2B1%29 Multiply by (x+1)/(x+1)
.
%28x-3%29%2F%281%2B%28x%2B1%29%29
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%28x-3%29%2F%28x%2B2%29