express in simplest terms?

6x^2-5x-4 all over 8-2x-3x^2

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  • Carl D
    Lv 4
    1 decade ago
    Favorite Answer

    I get:

    -(2x+1)/(x+2)

    Factoring the numerator:

    6x^2-5x-4 = (3x-4)(2x+1)

    Factoring the denominator:

    -3x^2-2x+8 = -(3x^2+2x-8), factored out -1

    -(3x^2+2x-8) = -(3x-4)(x+2)

    As a whole fraction:

    (3x-4)(2x+1) / -(3x-4)(x+2)

    Move the -1 to the numerator:

    -(3x-4)(2x+1) / (3x-4)(x+2)

    Cancel the (3x-4) and you get:

    -(2x+1)/(x+2)

  • 1 decade ago

    factor the top and the bottom so you get:

    (3x-4)(2x+1)/(-(3x-4)(x+2))

    Therefore, the (3x-4) s cancel, and your final answer is

    (2x+1)/(-x-2)

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