anonymous
  • anonymous
Simplify the following. 1. x/ (x-(1/2)) 2.(x-(1/x))/(x+(1/x)) 3.((25/a)-a/5+a)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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RadEn
  • RadEn
1# multiply by 2/2 x/(x-(1/2)) * 2/2 = 2x/(2x - 1)
anonymous
  • anonymous
oh i got number 1 already, but thanks though. I don't know number 2 and 3.
RadEn
  • RadEn
hint : multiply by x/x for number 2

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anonymous
  • anonymous
so the answer i got was x^2-1/x^2+1
anonymous
  • anonymous
Is that what you got?
RadEn
  • RadEn
yes
anonymous
  • anonymous
k thanks, now what about #3?
RadEn
  • RadEn
can you give more the parantheses for number 3 ?
anonymous
  • anonymous
((25/a)-a)/(5+a)
RadEn
  • RadEn
ok, first like number 1 and 2 , multiply by a/a. what do you get ?
anonymous
  • anonymous
it cancels out the a's. right?
RadEn
  • RadEn
yep, but only once
anonymous
  • anonymous
does the a in (25-a) only get cancelled out?
RadEn
  • RadEn
|dw:1378064185691:dw|
anonymous
  • anonymous
i got (5-a)/a
RadEn
  • RadEn
use the distributive property to expand it
anonymous
  • anonymous
what?!?
RadEn
  • RadEn
but, just for the numerator. |dw:1378064507736:dw|
anonymous
  • anonymous
so thats the final answer?
RadEn
  • RadEn
then try to factor out the numerator, then simplify again : |dw:1378064632793:dw|
RadEn
  • RadEn
then factor out again! |dw:1378064744384:dw|
RadEn
  • RadEn
now you can cancel the (a+5)'s
RadEn
  • RadEn
and finally, we get |dw:1378064847271:dw|
anonymous
  • anonymous
ohh okay
anonymous
  • anonymous
thanks man
RadEn
  • RadEn
you're welcome

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