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kirk.freedman

  • 2 years ago

Are a rational expression and its simplified forms equivalent? Provide mathematical examples to support your opinions. Somebody please explain!

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  1. DeoxNA
    • 2 years ago
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    Just use an example you know is true: \[\frac{ 4 }{ 8 } x = \frac{ 1 }{ 2 } x \] Multiply both sides by two and you get x=x

  2. DeoxNA
    • 2 years ago
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    You could forget the x part is you think of x=1, but it will work for any x.

  3. kirk.freedman
    • 2 years ago
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    Hmm.. okay that seems more simple than I thought, thanks!

  4. DeoxNA
    • 2 years ago
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    Anytime :)

  5. kirk.freedman
    • 2 years ago
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    wait wait wai.. Isn't a rational expression a ratio of two polynomials?

  6. kirk.freedman
    • 2 years ago
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    Wouldn't it have to be something like (x^2 +5)/(x+2)?

  7. apple_pi
    • 2 years ago
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    No... rational means it can be expressed as a fraction with integers on top and bottom

  8. DeoxNA
    • 2 years ago
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    Both a ratio of polynomials and of integers are a "rational expression", and, in any case, you can use the same example to prove it for polynomials as well.

  9. kirk.freedman
    • 2 years ago
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    Oh, okay thanks! :)

  10. kirk.freedman
    • 2 years ago
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    What about ((x^2)+10)/(x+5)=x+2?

  11. kirk.freedman
    • 2 years ago
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    x+2 is the reduced form, but it doesn't turn out to x=x does it?

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