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Math Help - Simplifying

  1. #1
    Junior Member casey_k's Avatar
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    Simplifying

    I'm having trouble simplifying this equation
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by casey_k View Post
    I'm having trouble simplifying this equation
    note that you have:

    \frac {x^2 - 4xy + 4y^2}{x^2 - y^2} \times \frac {x^2 + 2xy + y^2}{x^2 + xy - 6y^2}

    = \frac {(x - 2y)^2}{(x + y)(x - y)} \times \frac {(x + y)^2}{x^2 + xy - 6y^2}

    can you take it from here?
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  3. #3
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    \frac {x^2-4xy+4y^2}{x^2-y^2} /  \frac {x^2 + xy - 6y^2}{x^2+2xy+y^2}

    = \frac {(x-2y)^2}{(x+y)(x-y)} /  \frac {(x+3y)(x-2y)}{(x+y)^2}

    =\frac {(x-2y)^2}{(x+y)(x-y)} *  \frac {(x+y)^2}{(x+3y)(x-2y)}

    = \frac {(x-2y)(x+y)}{(x-y)(x+3y)}

    = \frac {x^2-xy-2y^2}{x^2+2xy+3y^2}
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  4. #4
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    Oh, Sorry, Jhevon I did not notice you had posted while I was typing the solution.
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  5. #5
    Junior Member casey_k's Avatar
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    yea, i can take it from here. thank you so much for making the problem more clearer!
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by muks View Post
    Oh, Sorry, Jhevon I did not notice you had posted while I was typing the solution.
    don't worry about it. you did a better job than i did. i didn't factorize the x^2 + xy - 6y^2
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