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Mathematics
OpenStudy (anonymous):

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

OpenStudy (salt):

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

OpenStudy (anonymous):

Can you demonstrate please?

OpenStudy (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?

OpenStudy (anonymous):

That would be great

OpenStudy (anonymous):

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

OpenStudy (salt):

ok

OpenStudy (salt):

na your done

OpenStudy (anonymous):

Thanks for your help!

OpenStudy (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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (salt):

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

OpenStudy (salt):

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

OpenStudy (anonymous):

Oh im in algebra 2

OpenStudy (anonymous):

Ok got that

OpenStudy (anonymous):

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

OpenStudy (salt):

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

OpenStudy (anonymous):

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

OpenStudy (salt):

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

OpenStudy (salt):

for instance what is x^0?

OpenStudy (anonymous):

is it one?

OpenStudy (salt):

yep

OpenStudy (anonymous):

But they are not to the oth power!

OpenStudy (salt):

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

OpenStudy (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

OpenStudy (anonymous):

ok thats cool, im still confused tho!

OpenStudy (salt):

okok

OpenStudy (salt):

um

OpenStudy (salt):

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

OpenStudy (anonymous):

ok

OpenStudy (salt):

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

OpenStudy (salt):

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

OpenStudy (anonymous):

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

OpenStudy (salt):

exactly

OpenStudy (salt):

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

OpenStudy (anonymous):

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

OpenStudy (salt):

what do you think?

OpenStudy (salt):

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

OpenStudy (anonymous):

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

OpenStudy (salt):

im ok with that =)

OpenStudy (salt):

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

OpenStudy (anonymous):

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

OpenStudy (salt):

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

OpenStudy (anonymous):

Haha im sure i will! nite

OpenStudy (salt):

nite

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