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Destinyyyy

  • one year ago

Subtract and simplify answer. 3x/x^2+4x+3 - x-6/x+1

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  1. Destinyyyy
    • one year ago
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    I got the answer -x^2-9x-18/(x+3)(x+1) .. Its wrong. -6x is the correct part not -9x... How is it -6x?

  2. anonymous
    • one year ago
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    this? \[\frac{ 3x }{ x^2+4x+3 }-\frac{ x-6 }{ x+1 }\]

  3. Destinyyyy
    • one year ago
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    Yes.

  4. anonymous
    • one year ago
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    factor on the right and get a common denominator \[\frac{ 3x }{ (x+3)(x+1) }-\frac{ (x-6)(x+3) }{ (x+3)(x+1) }\] combine into one fraction \[\frac{ 3x-((x-6)(x+3)) }{ (x+3)(x+1) }\] foil \[\frac{ 3x-(x^2-6x+3x-18) }{ (x+3)(x+1) }\] distribute the negative \[\frac{ 3x-x^2+6x-3x+18 }{ (x+3)(x+1) }\] combine like terms \[\frac{ -x^2+6x+18 }{ (x+3)(x+1) }\]

  5. anonymous
    • one year ago
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    or if you factor out the negative in front of x² \[-\frac{ x^2-6x-18 }{ (x+3)(x+1) }\]

  6. Destinyyyy
    • one year ago
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    Okay I see how you got 6.. But why did you put -6 before 3? I have --- (x-6)(x+3)== (x^2+3x-6x-18)

  7. anonymous
    • one year ago
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    addition is commutative, meaning the order doesn't matter

  8. anonymous
    • one year ago
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    1 + 2 is the same as 2 + 1

  9. Destinyyyy
    • one year ago
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    Okay..

  10. Destinyyyy
    • one year ago
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    What your saying isnt right.. Your answer-> 3+6-3=6 Mine-->3+3-6=0 By changing where the numbers go gives a completely different number.

  11. Destinyyyy
    • one year ago
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    Never mind Ill wait for a response from my teacher. Thanks for I guess helping.

  12. anonymous
    • one year ago
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    I wouldn't know what yours is, or how you got it because you haven't shown me any work.

  13. Destinyyyy
    • one year ago
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    All you had to do was ask.. x^2+4x+3= (x+3)(x+1) 3x/ (x+3)(x+1) - x-6/x+1 * (x+3)/(x+3) 3x-(x-6)(x+3)/ (x+3)(x+1) 3x-(x^2+3x-6x-18/ (x+3)(x+1) --3x-6x=-3-- -x^2-9x-18/(x+3)(x+1)

  14. anonymous
    • one year ago
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    no offense, but you're asking the question. I really shouldn't have to ask to see your work. This is your 4th line: 3x-(x^2+3x-6x-18)/ (x+3)(x+1) You have to distribute the - sign. It's kind of like a -1 in front of the parentheses. 3x -1(x² + 3x - 6x - 18) 3x - x² - 3x + 6x + 18 Just the x terms is 3x - 3x + 6x so the whole numerator is -x² + 6x + 18

  15. anonymous
    • one year ago
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    it just looks like you didn't distribute

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