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meow18

Add and simplify if possible:

  • 2 years ago
  • 2 years ago

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  1. meow18
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    \[3 \over x-5 \] + \[5 \over x ^{2}-25\]

    • 2 years ago
  2. gandalfwiz
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    do u know what's special about x^2 -25?

    • 2 years ago
  3. meow18
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    No...

    • 2 years ago
  4. gandalfwiz
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    it's something called "the difference of 2 perfect squares".

    • 2 years ago
  5. gandalfwiz
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    all that means is x^2 - a perfect square=(x+the square root)(x-the square root)

    • 2 years ago
  6. gandalfwiz
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    so x^2-25 becomes (x+5)(x-5)

    • 2 years ago
  7. meow18
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    Oh

    • 2 years ago
  8. gandalfwiz
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    k, so now u have|dw:1324334896764:dw|

    • 2 years ago
  9. gandalfwiz
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    multiply the 3/x-5 by (x+5)/(x+5)

    • 2 years ago
  10. gandalfwiz
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    that gives us a common denominator

    • 2 years ago
  11. meow18
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    So \[3x + 20 \over (x+5) (x-5)\]

    • 2 years ago
  12. gandalfwiz
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    yes!

    • 2 years ago
  13. gandalfwiz
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    so busy concentrating on my drawing that I couldn't see what you posted :)

    • 2 years ago
  14. jimmyrep
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    @meow - see the lcm question

    • 2 years ago
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