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Topic: Please help me simplify this expression.
Replies: 5   Last Post: Jan 24, 2005 2:20 AM

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Jeffrey Turner

Posts: 119
Registered: 12/6/04
Re: Please help me simplify this expression.
Posted: Jan 24, 2005 2:17 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply 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)

You've got a mistake here already, try taking the part within
the original square brackets and combining it into a single
fraction. You should be able to get it in terms of


> 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!

You're welcome.

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