SOLUTION: Simplify the complex fraction. 3/a+3 +1 divided by 9/a-3 +1 I tried multiplying both the numerator and denomiator by a+3, but then I didn't know what to do with the a-3 on t

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Simplify the complex fraction. 3/a+3 +1 divided by 9/a-3 +1 I tried multiplying both the numerator and denomiator by a+3, but then I didn't know what to do with the a-3 on t      Log On

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Question 57681This question is from textbook
: Simplify the complex fraction.
3/a+3 +1 divided by 9/a-3 +1
I tried multiplying both the numerator and denomiator by a+3, but then I didn't know what to do with the a-3 on the bottom. I think the +1 cancels out, and 3 can be divided into botht he 3 and 9, but I'm just not sure how to continue. Thanks.
This question is from textbook

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the complex fraction.
%283%2F%28a%2B3%29%2B1%29%2F%289%2F%28a-3%29%2B1%29 The LCD of the top and the bottom is (x+3)(a-3)
%28a%2B3%29%28a-3%29%283%2F%28a%2B3%29%2B1%29%2F%28%28a%2B3%29%28a-3%29%289%2F%28a-3%29%2B1%29%29
%283%2Across%28%28a%2B3%29%29%2A%28a-3%29%2Fcross%28%28a%2B3%29%29%2B%28a%2B3%29%28a-3%29%29%2F%289%28a%2B3%29%2Across%28%28a-3%29%29%2Fcross%28a-3%29%2B%28a%2B3%29%28a-3%29%29
%283%28a-3%29%2B%28a%2B3%29%28a-3%29%29%2F%289%28a%2B3%29%2B%28a%2B3%29%28a-3%29%29
%283a-9%2Ba%5E2-9%29%2F%289a%2B27%2Ba%5E2-9%29 Put in descending order
%28a%5E2%2B3a-18%29%2F%28a%5E2%2B9a%2B18%29 Factor
%28a%2B6%29%28a-3%29%2F%28%28a%2B6%29%28a%2B3%29%29
%28cross%28%28a%2B6%29%29%28a-3%29%29%2F%28cross%28%28a%2B6%29%29%28a%2B3%29%29
highlight%28%28a-3%29%2F%28a%2B3%29%29
Happy Calculating!!!