```Date: Jan 22, 2005 10:09 PM
Author: aaronhunter@gmail.com
Subject: Please help me simplify this expression.

Hello. I have the following expression. I have got it figured outexcept I am missing a minor detail that is causing me to have 2x+1instead 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 1/2power 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 is2x+1 / (x+2)^2What step am I missing to get quantity 2(x+1) / (x+2)^2???Thanks!-- submissions: post to k12.ed.math or e-mail to k12math@k12groups.orgprivate e-mail to the k12.ed.math moderator: kem-moderator@k12groups.orgnewsgroup website: http://www.thinkspot.net/k12math/newsgroup charter: http://www.thinkspot.net/k12math/charter.html
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