SOLUTION: 9u2 - 4 3u2 + 7u - 6

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Question 130506: 9u2 - 4
3u2 + 7u - 6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%289u%5E2+-+4%29%2F%283u%5E2++%2B+7u+-+6%29 Start with the given expression

%28%283u%2B2%29%283u-2%29%29%2F%283u%5E2++%2B+7u+-+6%29 Factor 9u%5E2+-+4 to get %283u%2B2%29%283u-2%29

%28%283u%2B2%29%283u-2%29%29%2F%28%28u%2B3%29%283u-2%29%29 Factor 3u%5E2++%2B+7u+-+6 to get %28u%2B3%29%283u-2%29



%283u%2B2%29cross%28%283u-2%29%29%2F%28u%2B3%29cross%28%283u-2%29%29 Cancel like terms


%283u%2B2%29%2F%28u%2B3%29 Simplify


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Answer:

So %289u%5E2+-+4%29%2F%283u%5E2++%2B+7u+-+6%29 simplifies to %283u%2B2%29%2F%28u%2B3%29. In other words %289u%5E2+-+4%29%2F%283u%5E2++%2B+7u+-+6%29=%283u%2B2%29%2F%28u%2B3%29