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May 10th, 2012, 02:34 PM  #1 
Senior Member Joined: Feb 2011 Posts: 150 Thanks: 0  Simplifying an equation
Hi, I'm doing a fluid dynamics problem and I need some help simplifying an equation I've ended up with. It's a big ask, but if someone would take the time to tell me what the simplest form of this would be it would be much appreciated. or if you prefer, the form Thanks very much. Jake 
May 10th, 2012, 03:12 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,784 Thanks: 707  Re: Simplifying an equation
Three of the terms have h as a factor in both the numerator and denominator. You can start by cancelling them out. Also, (h  ?h) is a factor for all the terms and can be taken outside [ ].

May 10th, 2012, 03:42 PM  #3 
Senior Member Joined: Feb 2011 Posts: 150 Thanks: 0  Re: Simplifying an equation
Thank you. Cancelling and bringing outside the bracket, I get: close? 
May 10th, 2012, 08:35 PM  #4  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  Re: Simplifying an equation Quote:
The 2nd term's numerator can be written +bc(ac  c), so (ac  c) cancels out, and term becomes simply bc. Ok? Before doing any more, can you make sure that 1st term's denominator is correctly shown: like, could it be 2(ac  c)? Asking due to (ac  c) and (c  ac) being all over the place! Anyhow, as it is, I got down to: c(1  a^2)(2b + dk) / (2k) + c(ad  b  d) where k = 2a  1 It checks out ok: tested it.  
May 11th, 2012, 12:37 PM  #5  
Global Moderator Joined: May 2007 Posts: 6,784 Thanks: 707  Re: Simplifying an equation Quote:
 

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