SOLUTION: a^+2a+1/2a^+3a+1

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Question 187071: a^+2a+1/2a^+3a+1
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a^+2a+1/2a^+3a+1
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What do you mean by " a^ " ?? There's no exponent.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to assume that you meant to write %28a%5E2%2B2a%2B1%29%2F%282a%5E2%2B3a%2B1%29




%28a%5E2%2B2a%2B1%29%2F%282a%5E2%2B3a%2B1%29 Start with the given expression.


%28%28a%2B1%29%28a%2B1%29%29%2F%282a%5E2%2B3a%2B1%29 Factor a%5E2%2B2a%2B1 to get %28a%2B1%29%28a%2B1%29.


%28%28a%2B1%29%28a%2B1%29%29%2F%28%28a%2B1%29%282a%2B1%29%29 Factor 2a%5E2%2B3a%2B1 to get %28a%2B1%29%282a%2B1%29.


Highlight the common terms.


%28cross%28%28a%2B1%29%29%2A%28a%2B1%29%29%2F%28cross%28%28a%2B1%29%29%282a%2B1%29%29 Cancel out the common terms.


%28a%2B1%29%2F%282a%2B1%29 Simplify.


So %28a%5E2%2B2a%2B1%29%2F%282a%5E2%2B3a%2B1%29 simplifies to %28a%2B1%29%2F%282a%2B1%29.


In other words, %28a%5E2%2B2a%2B1%29%2F%282a%5E2%2B3a%2B1%29=%28a%2B1%29%2F%282a%2B1%29 where a%3C%3E-1 or a%3C%3E-1%2F2