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8 January, 06:21

Subtract

/frac{3n+2}{n-4}-/frac{n-6}{n+4}

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Answers (1)
  1. 8 January, 06:50
    0
    (3n+2) / (n-4) - (n-6) / (n+4)

    common denominator (n-4) (n+4)

    { (n+4) (3n+2) - (n-4) (n-6) }/{ (n-4) (n+4) }

    Use the foil method:

    { (3n²+14n+8) - (n²-10n+24) }/{ (n-4) (n+4) }

    distribute negative sign:

    { (3n²+14n+8-n²+10n-24) }/{ (n-4) (n+4) }

    subtract:

    (2n²+24n-16) / { (n-4) (n+4) }

    take out 2:

    2{n²+12n-8}/{ (n-4) (n+4) }
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