SOLUTION: 3a/2a+6-a-1/a+3

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Question 201948: 3a/2a+6-a-1/a+3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283a%29%2F%282a%2B6%29-%28a-1%29%2F%28a%2B3%29 Start with the given expression.


%283a%29%2F%282%28a%2B3%29%29-%28a-1%29%2F%28a%2B3%29 Factor the first denominator


%283a%29%2F%282%28a%2B3%29%29-%282%28a-1%29%29%2F%282%28a%2B3%29%29 Multiply the second fraction by 2%2F2


%283a-2%28a-1%29%29%2F%282%28a%2B3%29%29 Combine the fractions (by subtracting the numerators over the same denominator)


%283a-2a%2B2%29%2F%282a%2B6%29 Distribute


%28a%2B2%29%2F%282a%2B6%29 Combine like terms.


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Answer:


So %283a%29%2F%282a%2B6%29-%28a-1%29%2F%28a%2B3%29=%28a%2B2%29%2F%282a%2B6%29