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perform the indicated operations and simplify x-5/x-7-x-1/x+7+x-35/x^2-49

  • Math -

    If what you typed means

    (x-5)/(x-7) - (x-1)/(x+7) + (x-35)/(x^2-49) then

    put everything over a common denominator. In this case, since x^2 - 49 = (x-7)(x+7) that will be our LCD.

    The numerator will then be:
    (x-5)(x+7) - (x-1)(x-7) + (x-35)
    = x^2 + 2x - 35 - (x^2 - 8x + 7) + (x - 35)
    = (11x - 77)
    = 11(x-7)

    Put that over (x-7)(x+7) and you have

    11(x-7) / (x-7)(x+7)
    = 11/(x+7)

  • Math -

    You need to clarify your formula by spacing and/or parentheses.

    x - 5/x - 7 - x - 1/x + 7 + x - 35/x^2 - 49 (?)

    x - 5/(x-7) - x - 1/(x-7) + x 35/(x^2-49) (?)

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