Question 379680: Simplify this complex fraction. Reduce to lowest terms.
1/9 + 1/3x
-------------------------
x/9 - 1/x
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! If you started with:
1/9 + 1/3x
------------
x/9 - 1/x
.
to rid ourselves of the denominator, multiply by 9x/9x to get:
.
x + 3
------------
x^2 - 9
.
Next, because the denominator is a "difference of squares" we can factor:
.
x + 3
------------
(x+3)(x-3)
.
Canceling like-terms we finally get:
1
----
x-3
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