Subtract. Simplify if possible.
6/x+b - 6/x-b
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.
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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!