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qwertyfreak

(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)

  • one year ago
  • one year ago

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  1. lalaly
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    did u try to do it ? ..

    • one year ago
  2. qwertyfreak
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    I tried, I dont know how to solve it.

    • one year ago
  3. Chlorophyll
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    Can you factor: x^2-25

    • one year ago
  4. qwertyfreak
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    (x - 5)(x + 5)

    • one year ago
  5. Chlorophyll
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    Yep :) So what's common denominator?

    • one year ago
  6. qwertyfreak
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    x-5, right?

    • one year ago
  7. Chlorophyll
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    I mean what should you multiply with the first fraction to get (x - 5)(x + 5)

    • one year ago
  8. qwertyfreak
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    I have no idea

    • one year ago
  9. Chlorophyll
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    Look at the first denominator, it already had ....

    • one year ago
  10. qwertyfreak
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    x-5. I said that though

    • one year ago
  11. Chlorophyll
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    what should you MULTIPLY with (x-5) --> COMMON DENOM (x - 5)(x + 5)

    • one year ago
  12. qwertyfreak
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    3??? Im sorry I have no idea how to do this ):

    • one year ago
  13. Chlorophyll
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    => MULTIPLY both upper and lower of the first fraction with (x + 5), will you!

    • one year ago
  14. Luis_Rivera
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    \[\frac{3}{x-5}+\frac{5}{x^2-25}\\\\=\frac{3(x+5)}{(x-5)(x+5)}+\frac{5}{(x-5)(x+5)}\\\\=\frac{3x+20}{(x-5)(x+5)} \]

    • one year ago
  15. Chlorophyll
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    @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!

    • one year ago
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