Factoring Questions

Discussion in 'Community Discussion' started by waloshin, Apr 27, 2009.

  1. waloshin macrumors 68040

    Oct 9, 2008
    a) Factor completly

    8(x-2)^3 + 64y^6


    Reduce the following completely:

    (2a -b)^4


    c) Reduce the following:

    3a^2 -2a -5
    27a^3 -125

    d) Simplify each of the following completely

    15x^2 -3x^3 x^2 -3x-10
    ___________ / ___________
    6x^2 - 24x x^2 -2x -8

    e) Solve the problem using rational equation skills.

    George ate 60 marshmallows in the same time that Jake ate 55. If George ate 1 marshmallow per minute more than Jake, then how many did each eat per minute?

    * I was thinking:

    60 = 55

    60 +1 (60)(x) 55 (60)(x)
    _____ = ___
    60 x

    61x = 3300
    ___ ____
    61 61

    x= 54

    But i dont think thats right.
  2. miles01110 macrumors Core


    Jul 24, 2006
    The Ivory Tower (I'm not coming down)
    Do you mean expand and simplify completely? Because the only thing you can really do is take out powers of 2 from the leading coefficients.

    For this problem, think about how you can factor the denominator to make it look like the numerator.

    You can factor the numerator and denominator very easily, after which you'll get factors to cancel.

    Take what you know about dividing by fractions to turn this into a multiplication problem. Factor and cancel as before.

    Wrong. How does 60 = 55?
  3. siurpeeman macrumors 603


    Dec 2, 2006
    the OC
    other than factoring out the 8, you can factor using difference/sum of cubes.

    a^3 + b^3 = (a + b) (a^2 - ab + b^2)
  4. miles01110 macrumors Core


    Jul 24, 2006
    The Ivory Tower (I'm not coming down)
    Ah, right. Thanks for pointing that out... it's obviously been a while since I did this :)
  5. Rodimus Prime macrumors G4

    Rodimus Prime

    Oct 9, 2006
    Seems like some one has not done their homework yet.

    I recommend you hope to it and get cracking instead of asking the people on the forums to do it for you.

    The problems over all are very simple problems and are easy.

    Please do your own work instead of trying to cheat
  6. instaxgirl macrumors 65816


    Mar 11, 2009
    Edinburgh, UK
    Or at least take the time to ask for the help instead of just posting questions. It seems rude to me
  7. fireshot91 macrumors 601


    Jul 31, 2008
    Northern VA
    For the last one, its:

    60-55= 5

    So they ate 60 and 55 marshmellows in 5 minutes (Seeing as how he ate 1 more per minute)
    60/5= 12

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