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Thread: Simplifying rational expressions

  1. #1
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    Simplifying rational expressions

    Any help with these would be greatly appreciated thank you!


    6.) (x^2 - 36) * [(3x + 1) / (x + 6)]


    (y^2 - 9) / [(y + 3) / (y - 3)]
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  2. #2
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    Quote Originally Posted by iDrum View Post
    Any help with these would be greatly appreciated thank you!


    6.) (x^2 - 36) * [(3x + 1) / (x + 6)]


    (y^2 - 9) / [(y + 3) / (y - 3)]
    You need to use the difference of 2 squares rule on both problems.


    It is a^2-b^2= (a-b)(a+b)

    Here's a kick start


     <br />
 x^2 - 36 = x^2 - 6^2 = (x-6)(x+6)<br />
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  3. #3
    Super Member bigwave's Avatar
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    Quote Originally Posted by iDrum View Post
    Any help with these would be greatly appreciated thank you!


    6.) (x^2 - 36) * [(3x + 1) / (x + 6)]


    (y^2 - 9) / [(y + 3) / (y - 3)]
    rewrite
    \frac {y^2-9}{1}\  \frac{y-3}{y+3}

    then
    \frac {(y+3)(y-3)}{1}\  \frac{y-3}{y+3}

    see the rest?
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