I'm doing rational expressions and need help please! How do you simplify: x+y/x-y divided by 1/x- 1/y. Thanks!

- anonymous

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- Salt

first you find the common denomiator of (1/x)-(1/y) then you flip it and multiply it by x+y/x-y

- anonymous

Can you demonstrate please?

- Salt

do you mind if i give you a generic version. I would rather you understand then just give you the answer. Is that ok?

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- anonymous

That would be great

- anonymous

I have gotten to (xy) x+y over (x-y) (y-x) is there anything else I can do?

- Salt

ok

- Salt

na your done

- anonymous

Thanks for your help!

- Salt

the only thing you could do is factor a negative out. and make it x-y squared on the bottom but that isnt necesary

- anonymous

What about if you have 5p/6p? can u cancel the p's?

- anonymous

And also s-1 over (s-1) (s+1) can you cancel the s-1's?

- anonymous

I'm not too sure about the canceling rules...

- Salt

which math are you in? If you dont mind me asking.

- Salt

ok so the general rule in dividing variables is. if it is the same variable you subtract the exponents.

- anonymous

Oh im in algebra 2

- anonymous

Ok got that

- anonymous

So could u cancel the p's or s-1's?

- Salt

what is the exponent of the p's and x-1's?

- anonymous

I guess it is just one because the exponents canceled out earlier

- Salt

what is anything raised to the 0 power except 0^0

- Salt

for instance what is x^0?

- anonymous

is it one?

- Salt

yep

- anonymous

But they are not to the oth power!

- Salt

really? If (x-4)^1/(X-4)^1=(X-4)^0 then (x-4)^0=1

- Salt

just to give you a hint i am a math tutor my statements are meant to lead you somewhere i am not asking you questions for no reason lol

- anonymous

ok thats cool, im still confused tho!

- Salt

okok

- Salt

um

- Salt

so x^2/X^2 you subtract the exponenets leaving you with x^0 right?

- anonymous

ok

- Salt

can you do (x-4)^2/(x-4) for me?

- Salt

treat the x-4 as one thing and just worry about the exponenets

- anonymous

(x-4) (x-4)/(x-4) equals x-4?

- Salt

exactly

- Salt

what you just did was the subtracted the exponenets. do you understand what i mean?

- anonymous

YES! Hooray, so that should mean you can cancel the p's and the s-1's?

- Salt

what do you think?

- Salt

I am only saying that because i want you to be confident.

- anonymous

I think it is a yes......

- Salt

im ok with that =)

- Salt

sorry this took so long i really want you to understand it

- anonymous

Thank u for taking the time to help me! I really appreciate it 8 )

- Salt

no problem. I like this place. i will probably hang around, so if you have more questions feel free to ask.

- anonymous

Haha im sure i will! nite

- Salt

nite

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