SOLUTION: 1/a-b + 1/b-a I'm confused, why is the answer 0? Could you answer the question in a specific step by step process please, I'd really appreciate it.

Algebra ->  Sequences-and-series -> SOLUTION: 1/a-b + 1/b-a I'm confused, why is the answer 0? Could you answer the question in a specific step by step process please, I'd really appreciate it.      Log On


   

Question 853079: 1/a-b + 1/b-a
I'm confused, why is the answer 0? Could you answer the question in a specific step by step process please, I'd really appreciate it.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28a-b%29+%2B+1%2F%28b-a%29
Sorry, I sent this inadvertantly
1%2F%28%28a-b%29%29+%2B+1%2F%28%28b-a%29%29
Change the sign of the 2nd fraction, factor out -1 in the denominator, resulting
1%2F%28%28a-b%29%29+%2B+1%2F%28-1%28a-b%29%29
now a is positive and b is negative, -1 changes the sign so we have
1%2F%28%28a-b%29%29+-+1%2F%28%28a-b%29%29 = 0