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28 December, 11:40

rewrite as equivalent rational expressions with denominator (3x-8) (x-5) (x-3). 4/3x2-23x+40,9x/3x2-17x+24

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  1. 28 December, 13:47
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    Step-by-step explanation:

    /frac{4}{3x²-23x+40}

    =/frac{4}{3x²-15x-8x+40}

    =/frac{4}{3x (x-5) - 8 (x-5) }

    =/frac{4}{ (x-5) (3x-8) }

    =/frac{4 (x-3) }{ (x-5) (3x-8) (x-3) }

    2.

    /frac{9x}{3x²-17x+24}

    =/frac{9x}{3x²-9x-8x+24}

    =/frac{9x}{3x (x-3) - 8 (x-3) }

    =/frac{9x}{ (x-3) (3x-8) }

    =/frac{9x (x-5) }{ (3x-8) (x-5) (x-3) }
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