algebra

Subtract. Simplify if possible.

6/x+b - 6/x-b

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asked by becky
  1. We have this:

    6/(x+b) - 6/(x-b)

    Our LCD is (x + b)(x - b)

    We divide the LCD by each denominator and then multiply the quotient by each numerator.

    (x + b)(x - b) divided by (x + b) = (x - b)

    Then, 6 times (x - b) = 6x - 6b.

    ===============================

    Now the right side fraction.

    (x + b)(x - b)divided by (x - b) =
    (x + b)

    Then, -6 times (x + b) = -6x - 6b

    We now have this new fraction:

    [6x - 6b - 6x - 6b]/(x + b)(x - b)

    6x and -6x cancel each other out leaving us with the final answer:

    -12b/(x + b)(x - b)

    Done!

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    posted by Guido

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