if (u, v) = u-v/u+v, find F(1/u, 1/v) + F(u,v). the only question left to finish my assignment :)) please please, anyone. Our teacher haven't discussed this yet, and i can't find any examples in the internet..

Question

anonymous · Answer

or any idea what is this called? :)

whpalmer4 · Answer

painful algebra :-)

$$F(u,v) = \frac{u-v}{u+v}$$
$$F(1/u,1/v) = \frac{1/u-1/v}{1/u+1/v}$$
$$F(1/u,1/v)+F(u,v) = \frac{1/u-1/v}{1/u+1/v} +\frac{u-v}{u+v}$$
Grind through the algebra...

anonymous · Answer

ans just simplify the last one? :)
ohhhhhhhhh, thank you. hahahahaha :) algebra algebra algebra. lol.

anonymous · Answer

and*

anonymous · Answer

"Grind through the algebra..."

xD LOL

you can throw it into wolfram to confirm your answer

anonymous · Answer

wolfram? is it for free? haha, like openstudy? :)

whpalmer4 · Answer

Here's a little trick that makes this much easier: substitute c = 1/u, d = 1/v and do the algebra until you can't get any further, then substitute back.

jhannybean · Answer

Cross multiply :)

whpalmer4 · Answer

The problem becomes $$\frac{c-d}{c+d}+\frac{u-v}{u+v}$$

whpalmer4 · Answer

Make a common denominator and combine, then substitute back.  I think you'll be pleasantly surprised by the result :-)

anonymous · Answer

wolfram's basic function are free. copy/paste this: (1/u - 1/v)/(1/u + 1/v) + (u-v)/(u+v) here: http://www.wolframalpha.com/ i was about to say what palmer said about the result :P

jdoe0001 · Answer

http://openstudy.com/study#/updates/51bcb172e4b0286018b16d2b in case you missed on your previouis posting of this duplicate post

anonymous · Answer

ahh okayy :) i got 0 as the result.. hehe

anonymous · Answer

youre right

jhannybean · Answer

$$F(1/u,1/v)+F(u,v) = \frac{1/u-1/v}{1/u+1/v} +\frac{u-v}{u+v}$$$$\frac{1/u-1/v}{1/u+1/v} \cdot (u+v) + \frac{u+v}{u+v}\cdot (1/u+1/v)$$


Yeah....you get 0 lol.

anonymous · Answer

haha thank you people! :) mwah hahaha

anonymous · Answer

@jdoe0001 oh, that's my classmate over there :) haha

jdoe0001 · Answer

ahemm, yes and I noticed you didn't read it, instead just reposted it the same thing :/

anonymous · Answer

i didn't :P

jdoe0001 · Answer

yes, I saw that

anonymous · Answer

i recommeded her the openstudy at first and i didnt know she posted the same thing

jdoe0001 · Answer

hmmmm, I said what I said because I did read you 1st posting and gave you the link
this is your 2nd posting of the same exact thing

anonymous · Answer

uhmm yeah, on mathematics,.

anonymous · Answer

the subject**