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anonymous

  • 5 years ago

I am doing Simplifying rational expressions its adding a fraction. I will attach the probem so you can see it clearer (:

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  1. anonymous
    • 5 years ago
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    Here it is :

  2. Yuki
    • 5 years ago
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    hey dolly, still having trouble with rationals ?

  3. anonymous
    • 5 years ago
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    ya >.<

  4. Yuki
    • 5 years ago
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    can't open it

  5. anonymous
    • 5 years ago
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    can u see the attachments all i see is links :P

  6. anonymous
    • 5 years ago
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    Hmmmm ok then hold on (:

  7. anonymous
    • 5 years ago
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    x^2 - 16 / 4x + (x - 4)

  8. anonymous
    • 5 years ago
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    and the options are : x + 4 / 4x x + 1/ x x - 4 / x

  9. Yuki
    • 5 years ago
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    is it\[{x^2 - 16 \over 4x} + (x-4)\]

  10. anonymous
    • 5 years ago
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    Yep!! (:

  11. Yuki
    • 5 years ago
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    the lowest common denominator is 4x, so you just find the equivalent form of x-4\[4x(x-4) \over 4x\]

  12. Yuki
    • 5 years ago
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    so when you simplify it, \[{x^2+4x^2 -16x -16 \over 4x } ={ 5x^2-16x -16 \over 4x}\]

  13. anonymous
    • 5 years ago
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    Ohh so you factor the numerator and then they cancel out? >.< i think i might be confused ^^

  14. Yuki
    • 5 years ago
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    I don't think the problem is right. because the rational form only goes this much and even if you do long division you still don't get any answer from the choices you gave

  15. anonymous
    • 5 years ago
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    Ya thats why i was stumped >.< but those are the exact answers they gave me

  16. anonymous
    • 5 years ago
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    what do u think i should do? (:

  17. anonymous
    • 5 years ago
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    Hmmm alright my teacher says to divide so will you help me with dividing them? (:

  18. Yuki
    • 5 years ago
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    I am thinking that the problem is actually \[{x^2-16 \over 4x(x-4)}\]

  19. anonymous
    • 5 years ago
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    No it isnt i wish it was >.< my teacher said it was a typo and ur suppossed to divide... :P go figure lol

  20. anonymous
    • 5 years ago
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    will u still help? (:

  21. Yuki
    • 5 years ago
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    hmm, this one would be (x+4)/4x = 1/4 +1/x

  22. Yuki
    • 5 years ago
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    okay, then let's just do long division

  23. Yuki
    • 5 years ago
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    \[(x^2-16 \over 4x\]

  24. Yuki
    • 5 years ago
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    can be written as follows \[{x \over 4} - {4 \over x}\] by long division

  25. anonymous
    • 5 years ago
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    Wait so then it would have to be A or C right?

  26. Yuki
    • 5 years ago
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    when you add x-4 you will get \[{x \over 4} - {4 \over x} +x-4\]

  27. Yuki
    • 5 years ago
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    you can't go further if you make it into one big fraction, it's the one with the 5x^2

  28. anonymous
    • 5 years ago
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    Hmmm thats so strange!! why are all my problems like that!:P

  29. Yuki
    • 5 years ago
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    even if you work from the answers none of them match for example x + 4/x = \[x^2 +4 \over x\] so it's not the answer

  30. anonymous
    • 5 years ago
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    >.< That is frackin frustrating :P lol i gave u a medal tho cuz at least u tried (:

  31. anonymous
    • 5 years ago
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    So then for the problem : 10a^2/7b^2 / 25a^3/14b^3 what would be the answer? (:

  32. Yuki
    • 5 years ago
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    let's work one by one the rational expression can be written as such by making a division into a multiplication and taking the reciprocal \[{10a^2 \over 7b^2}*{14b^3 \over 25 a^3}\]

  33. Yuki
    • 5 years ago
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    now this is a lot easier, the a's b's can cancel and 10 and 25 have something in common etc..

  34. anonymous
    • 5 years ago
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    oh ya!!

  35. Yuki
    • 5 years ago
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    you will end up having \[2b \over 5a\]

  36. Yuki
    • 5 years ago
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    oops, make that 4b/5a

  37. anonymous
    • 5 years ago
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    ohhhh ya i just did that whole problem after u said u dont long divide im such a frickin blonde lol thanks!! i asked for help when i didnt even need it... figures :P lol

  38. anonymous
    • 5 years ago
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    Ok i am retaking an assignment and i will prolly be checking or asking for help on here do you think you can help? (: or will ay least be on .... ?(:

  39. Yuki
    • 5 years ago
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    unfortunately I need to go :( Good luck though. My advise is to take each step slowly 1), find LCD 2), make all rationals equivalent form with the LCD 3), add the numerators 4), once simplified, check if it factors 5), check if there is anything in common with the denominator also, keep the denominator factored, because it would be an extra step to expand it

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