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Math Problem

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perform the indicated operation and simplify please help.

(v-5)/(v-6)-(v+1)/(v+6)+(v-18)/(v^2-36)

  • Math Problem -

    Notice that the denominator consists of
    (v-6), (v+6), and (v^2-36)=(v+6)(v-6)

    Therefore the common denominator is
    (v²-36)=(v+6)(v-6)

    The first fraction becomes:
    (v-5)(v+6)
    -------------
    (v²-36)

    The second fraction becomes:
    (v+1)(v-6)
    -------------
    (v²-36)

    And the third one stays at:
    (v-18)
    -------------
    (v²-36)

    Since we have a common denominator, we can expand the numberators and add to get:

    7(v-6)
    ---------
    (v+6)(v-6)
    which after cancelling gives:
    7/(v+6).

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