anonymous
  • anonymous
Rationalize the denominator and give the simplified form: [√ (u² -v²)] / [√ (u-v) - u²-v²] help i'm stuck
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
the conjugate of denominator is √ (u-|dw:1378250275795:dw|v) + u²+v² right?? i multiply it with the expression but i got stuck, here's my solution:
asnaseer
  • asnaseer
You have the conjugate correct but have unnecessarily expanded the denominator. Make use of the fact that:\[(a-b)(a+b)=a^2-b^2\]In your case:\[a=\sqrt{u-v}\]\[b=u^2+v^2\]
asnaseer
  • asnaseer
did you understand the difference of two squares factorisation I showed above?

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anonymous
  • anonymous
ok i got it thanks!!!!!!!!!!!!!!(^_^) sorry for being slow,lol
asnaseer
  • asnaseer
np - and yw :)
anonymous
  • anonymous
|dw:1378251801300:dw|
asnaseer
  • asnaseer
exactly! :D

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