SOLUTION: I have a problem with an equation. 4/z-1 - 2/z+1 the answer is 2z+6/(z-1)(z+1) My question is how do you get that answer? Any help at all would be very appreciated! Than

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: I have a problem with an equation. 4/z-1 - 2/z+1 the answer is 2z+6/(z-1)(z+1) My question is how do you get that answer? Any help at all would be very appreciated! Than      Log On


   

Question 52727: I have a problem with an equation.
4/z-1 - 2/z+1 the answer is 2z+6/(z-1)(z+1) My question is how do you get that answer?
Any help at all would be very appreciated!
Thank you :o)
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
You need to have a common denominator for both fractions; hence, the common denominator of %28z-1%29%28z%2B1%29. So using this common denominator, we need to determine what each of the fractions is with that common denominator. The first fraction becomes %284%28z%2B1%29%29%2F%28%28z-1%29%28z%2B1%29%29, which simplifies to %284z%2B4%29%2F%28z-1%29%28z%2B1%29. The second fraction becomes %282%28z-1%29%29%2F%28%28z-1%29%28z%2B1%29%29, which simplifies to %282z-2%29%2F%28%28z-1%29%28z%2B1%29%29. Now, we have the %284z%2B4%29%2F%28%28z-1%29%28z%2B1%29%29+-+%282z-2%29%2F%28%28z-1%29%28z%2B1%29%29, which simplifies to %284z%2B4-2z%2B2%29%2F%28%28z-1%29%28z%2B1%29%29. Now combining like terms we get %282z%2B6%29%2F%28%28z-1%29%28z%2B1%29%29.