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Re: Please help me simplify this expression.
Posted:
Jan 24, 2005 2:19 AM


aaronhunter@gmail.com wrote: > > Hello. I have the following expression. I have got it figured out > except I am missing a minor detail that is causing me to have 2x+1 > instead of 2(x+1) in my final numerator. Please help! > > Note that x^1 is (x to the first power) ^(1/2) is to the negative 1/2 > power etc... > > Problem: [x(x+2)^(1/2) + (x+2)^(1/2) ] / (x+2)^(3/2) > > I first separate out the problem and combine the lower exponents to get > [x((2/(x+2)) + 1/(x+2)] / (x+2)
Well that's wrong! I'm not sure what "combine the lower exponents" means but I'd proceed as follows. You have
x(x + 2)^{1/2} + (x + 2)^{1/2}  (x + 2)^{3/2}
multiply top and bottom by (x + 2)^{1/2} to get
x + (x + 2)  (x + 2)^2
or
2(x + 1)  (x + 2)^2 > > ... > What step am I missing to get quantity 2(x+1) / (x+2)^2???
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