SOLUTION: Please help solve 3/a^2+a*2a+2/6=

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Question 186585: Please help solve 3/a^2+a*2a+2/6=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%283%29%2F%28a%5E2%2Ba%29%29%28%282a%2B2%29%2F%286%29%29 Start with the given expression.


%28%283%29%2F%28a%28a%2B1%29%29%29%28%282a%2B2%29%2F%286%29%29 Factor a%5E2%2Ba to get a%28a%2B1%29.


%28%283%29%2F%28a%28a%2B1%29%29%29%28%282%28a%2B1%29%29%2F%286%29%29 Factor 2a%2B2 to get 2%28a%2B1%29.


%28%283%29%2F%28a%28a%2B1%29%29%29%28%282%28a%2B1%29%29%2F%282%2A3%29%29 Factor 6 to get 2%2A3.


%283%2A2%28a%2B1%29%29%2F%28a%2A%28a%2B1%29%282%2A3%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


1%2Fa Simplify.


So %28%283%29%2F%28a%5E2%2Ba%29%29%28%282a%2B2%29%2F%286%29%29 simplifies to 1%2Fa.


In other words, %28%283%29%2F%28a%5E2%2Ba%29%29%28%282a%2B2%29%2F%286%29%29=1%2Fa where a%3C%3E0 or a%3C%3E-1