Simplifying Expressions with Ratios of Factors

*To*: mathgroup at smc.vnet.net*Subject*: [mg48579] Simplifying Expressions with Ratios of Factors*From*: "David Park" <djmp at earthlink.net>*Date*: Sat, 5 Jun 2004 07:19:53 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Dear MathGroup, I can do the following but not in a way that totally pleases me. It exemplifies a common problem of simplifying expressions that contain a ratios of factors that we wish to combine. What is the best way to simplify expr1 to expr2? expr1 = d\[Tau]^2 == (dt^2*(m - 2*\[Rho])^2)/(m + 2*\[Rho])^2 - ((m + 2*\[Rho])^4*(d\[Rho]^2 + d\[Theta]^2*\[Rho]^2 + d\[Phi]^2*\[Rho]^2* (sin^2*\[Theta])))/(16*\[Rho]^4) expr2 = d\[Tau]^2 == (dt^2*(m/(2*\[Rho]) - 1)^2)/(m/(2*\[Rho]) + 1)^2 - (m/(2*\[Rho]) + 1)^4*(d\[Rho]^2 + d\[Theta]^2*\[Rho]^2 + d\[Phi]^2*\[Rho]^2*(sin^2*\[Theta])) David Park djmp at earthlink.net http://home.earthlink.net/~djmp/

**Follow-Ups**:**Re: Simplifying Expressions with Ratios of Factors***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>

**Re: Simplifying Expressions with Ratios of Factors***From:*Selwyn Hollis <sh2.7183@misspelled.erthlink.net>