SOLUTION: (a^negative 1 - b^ negative 1)^ negative 1 I keep doing this, and getting a-b. I have the answer (its in the back of the book) ab/b-a , but I don't know how they got it.

Question 131558: (a^negative 1 - b^ negative 1)^ negative 1
I keep doing this, and getting a-b.
I have the answer (its in the back of the book) ab/b-a , but I don't know how they got it.
Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

note that ,and also

and, likewise,

Now multiply the top and bottom by
answer
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
for all real numbers x, .

So,

In order to add the two fractions in the denominator, you need a lowest common denominator. Without any factors in common that we know about, the best we can do for a common denominator is , so:

Note that the original expression is undefined if either , , OR , but the only restriction on the final expression is that
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