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Math Help - HELP with factoring and simplifying

  1. #1
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    HELP with factoring and simplifying

    I cant solve this problem. help please thanks



    oh. the last term has the denominator of xcube - 2xsquared y + 2x ysquared - ycube.

    hope you guys can answer.
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  2. #2
    Super Member Matt Westwood's Avatar
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    First thing I would do is to get the thing in the brackets on the RHS over a common denominator and simplifying it out to see what I get. Then I try factorising stuff and cancelling out where possible. How far have you got?
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  3. #3
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    Hello reiward
    Quote Originally Posted by reiward View Post
    I cant solve this problem. help please thanks



    oh. the last term has the denominator of xcube - 2xsquared y + 2x ysquared - ycube.

    hope you guys can answer.
    You'll find the following expressions useful:

    x^3 -2x^2y+2xy^2 - y^3 = (x-y)(x^2-xy+y^2)

    This will enable you to find the LCD of the two fractions in the last bracket; and

    x^3 + y^3 = (x+y)(x^2-xy+y^2)

    This will allow you to cancel a common factor once you've turned the 'divided by' fraction
    'upside-down'.

    Grandad
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