anonymous
  • anonymous
(6)Add and simplify if possible: 3 5 ______ + _________ x-5 x^2-25 a.) 8 _____________ (x+5)(x-5) b.) 3x+20 ______________ (x+5)(x-5) c.) 8x+5 ____________ (x+5)(x-5)
Mathematics
jamiebookeater
  • jamiebookeater
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lalaly
  • lalaly
did u try to do it ? ..
anonymous
  • anonymous
I tried, I dont know how to solve it.
anonymous
  • anonymous
Can you factor: x^2-25

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anonymous
  • anonymous
(x - 5)(x + 5)
anonymous
  • anonymous
Yep :) So what's common denominator?
anonymous
  • anonymous
x-5, right?
anonymous
  • anonymous
I mean what should you multiply with the first fraction to get (x - 5)(x + 5)
anonymous
  • anonymous
I have no idea
anonymous
  • anonymous
Look at the first denominator, it already had ....
anonymous
  • anonymous
x-5. I said that though
anonymous
  • anonymous
what should you MULTIPLY with (x-5) --> COMMON DENOM (x - 5)(x + 5)
anonymous
  • anonymous
3??? Im sorry I have no idea how to do this ):
anonymous
  • anonymous
=> MULTIPLY both upper and lower of the first fraction with (x + 5), will you!
anonymous
  • anonymous
\[\frac{3}{x-5}+\frac{5}{x^2-25}\\\\=\frac{3(x+5)}{(x-5)(x+5)}+\frac{5}{(x-5)(x+5)}\\\\=\frac{3x+20}{(x-5)(x+5)} \]
anonymous
  • anonymous
@qwertyfreak perform multiply in the first fraction of the second row as in @Luis_Rivera post! Learn it for your own benefit in the long run!

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