Simplifying Rational Expressions

07082021, 08:28 AM
Post: #1




Simplifying Rational Expressions
How can I simplify the expression below with the HP Prime? I like to see u^n over v^2 as the result.
Casio fxCG500, HP Prime 2AP18AA 

07082021, 09:18 AM
Post: #2




RE: Simplifying Rational Expressions
If I make
simplify((u^(n+1)*v^(n+1))/(u*v^(n+3))) I get a little bit further to u^(n+1)/(u*v^2), but it is not able to reduce the fraction to u^n/v^2. If I try to simplify the exptression u^(n+1)/(u*v^2) I get what you already got. BTW: If I try expand(((u*v)^(n+1))/(u*v^(n+3))) with the TI89 Titanium I get (u*v)^n/v^(n+2). If I do expand((u^(n+1)*v^(n+1))/(u*v^(n+3))) I get u^n/v^2. So this is not perfect but better than the Prime. Result with TI nspire CX IIT CAS: expand(((u*v)^(n+1))/(u*v^(n+3))) > (u*v)^n/(u*v^(n+3)) expand((u^(n+1)*v^(n+1))/(u*v^(n+3))) > u^n/v^2 So it seams that the brackets in the numerator make things more difficult. It's really strange because it is mathematically so simple. Best Raimund 

07082021, 09:38 AM
Post: #3




RE: Simplifying Rational Expressions
Try to use, in sequence, "texpand" and then "simplify"
Greetings, Robmio 

07082021, 09:58 AM
(This post was last modified: 07082021 09:59 AM by sascha.)
Post: #4




RE: Simplifying Rational Expressions
(07082021 09:38 AM)robmio Wrote: Try to use, in sequence, "texpand" and then "simplify" That's what I get: Casio fxCG500, HP Prime 2AP18AA 

07082021, 10:26 AM
Post: #5




RE: Simplifying Rational Expressions
Hi, you don't have to use "expand", but "texpand", followed by "simplify".


07082021, 11:59 AM
Post: #6




RE: Simplifying Rational Expressions
CAS> simplify(pow2exp((u*v)^(n+1)/(u*v^(n+3)))) → u^n/v^2
CAS> simplify(pow2exp(u^(n+1)*v^(n+1)/(u*v^(n+3)))) → u^n/v^2 

07082021, 12:18 PM
Post: #7




RE: Simplifying Rational Expressions
(07082021 10:26 AM)robmio Wrote: Hi, you don't have to use "expand", but "texpand", followed by "simplify". Thanks! Amazing, this works: Casio fxCG500, HP Prime 2AP18AA 

07082021, 12:23 PM
Post: #8




RE: Simplifying Rational Expressions
(07082021 11:59 AM)Albert Chan Wrote: CAS> simplify(pow2exp((u*v)^(n+1)/(u*v^(n+3)))) → u^n/v^2 This works great. Thanks! Casio fxCG500, HP Prime 2AP18AA 

07092021, 03:11 PM
(This post was last modified: 07092021 07:25 PM by Hlib.)
Post: #9




RE: Simplifying Rational Expressions
My afx2.0 calculator outputs:
simplify ((U×V)^(N+1)/((U×V)^(N+3))) result is 1/(U^2×V^2) Is this correct? EDIT My input mistake: (u×v)^(n+1)/(u×v^(n+3)) Yes, Prime wins. 

07092021, 07:07 PM
Post: #10




RE: Simplifying Rational Expressions  
07092021, 07:27 PM
Post: #11




RE: Simplifying Rational Expressions
Yes, I have edit my mistake.


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