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Please help me simplify this expression.
Posted:
Jan 22, 2005 10:09 PM


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)
Then I distribute the x [2x/(x+2) + 1/(x+2)] / (x+2)
Now combine like terms [(2x+1)/(x+2)] / (x+2)
Now multiply [(2x+1)/(x+2)] * 1/(x+2)
my final result is 2x+1 / (x+2)^2 What step am I missing to get quantity 2(x+1) / (x+2)^2???
Thanks!
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