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Math Help - Factorisation with two variables

  1. #1
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    Factorisation with two variables

    Does anyone have any ideas for the factors of this equation?
    4x^2-75xy-100y^2

    Thanks for your help!
    Last edited by AShaw; September 4th 2008 at 12:36 PM. Reason: added thanks!
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by AShaw View Post
    Does anyone have any ideas for the factors of this equation?
    4x^2-75xy-100y^2

    Thanks for your help!
    Write (2x)˛-75xy-(10y)˛

    Then, complete the square . (Completing the Square: Solving Quadratic Equations)
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  3. #3
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    (4x+5y)(x-20y)
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  4. #4
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    Quote Originally Posted by AShaw View Post
    Does anyone have any ideas for the factors of this equation?
    4x^2-75xy-100y^2

    Thanks for your help!
    =4x^2-75xy-100y^2

    =4x^2-80xy+5xy-100y^2

    =4x(x-20y)+5y(x-20y)

    =(4x+5y)(x-20y)
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