SOLUTION: Add. 6/z-5 + 6/z+5

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Question 127154: Add.
6/z-5 + 6/z+5

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
6%2F%28z-5%29+%2B+6%2F%28z%2B5%29

You need a common denominator. Since the two denominators have no factors in common, the lowest common denominator is simply the product of the two. %28z-5%29%28z%2B5%29=z%5E2-25 (Remember the factorization of the difference of two squares)

So:
%286%28z%2B5%29%2B6%28z-5%29%29%2F%28z%5E2-25%29

%286z%2B30%2B6z-30%29%2F%28z%5E2-25%29

12z%2F%28z%5E2-25%29