# algebra

Subtract. Simplify if possible.

6/x+b - 6/x-b

1. 👍 0
2. 👎 0
3. 👁 52
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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2. 👎 0
posted by Guido

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