SOLUTION: how do you solve a-1/a+1 + a+1/a-1

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Question 174086: how do you solve a-1/a+1 + a+1/a-1
Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
+%28a-1%29%2F%28a%2B1%29+%2B+%28a%2B1%29%2F%28a-1%29 you need to get everything over a common denominator first. That would be (a+1)(a-1)
+%28%28a-1%29%28a-1%29%29%2F%28%28a%2B1%29%28a-1%29%29+%2B+%28%28a%2B1%29%28a%2B1%29%29%2F%28%28a-1%29%28a%2B1%29%29
+%28%28a-1%29%5E2%29%2F%28%28a%2B1%29%28a-1%29%29+%2B+%28%28a%2B1%29%5E2%29%2F%28%28a-1%29%28a%2B1%29%29
Now that you have a common denominator, you add fractions just like you did with arithmetic.
+%28%28a-1%29%5E2+%2B%28a%2B1%29%5E2%29%2F%28%28a-1%29%28a%2B1%29%29
%28a%5E2+-2a+%2B+1+%2B+a%5E2+%2B+2a+%2B+1%29%2F%28a%5E2+-+1%29
%282a%5E2+%2B+2%29%2F%28a%5E2+-1%29