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Math Help - Reduce the expression

  1. #1
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    Question Reduce the expression

    This does not make sense to me...I come up with different answers.
    4 3 2
    6t - 3t - 9t
    4 3 2
    4t -12t + 9t
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  2. #2
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    Quote Originally Posted by tpoma View Post
    This does not make sense to me...I come up with different answers.
    4 3 2
    6t - 3t - 9t
    4 3 2
    4t -12t + 9t
    Is this what you've tried to write?

    \frac{6t^4 - 3t^3 - 9t^2}{4t^4 - 12t^3 + 9t^2}?

    If so, start by taking out common factors.

    =\frac{3t^2(2t^2 - t - 3)}{t^2(4t^2 - 12t + 9)}

    =\frac{3(2t^2 - t - 3)}{4t^2 - 12t + 9}


    Now try factorising the top and the bottom.

     = \frac{3(2t^2 - 3t + 2t - 3)}{4t^2 - 6t - 6t + 9}

     = \frac{3[t(2t - 3) + 1(2t - 3)}{2t(2t - 3) - 3(2t - 3)}

     = \frac{3(t + 1)(2t - 3)}{(2t - 3)(2t - 3)}

     = \frac{3(t + 1)}{2t - 3}.


    Is this the answer you were given?
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  3. #3
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    Smile

    That was perfect Thanks!!!!
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