SOLUTION: how do I solve this rational expression with unlike deniomators, for example, 6/(x-3) + 8/(3-x), I know I must use a -1 and multiply, but I am getting a different anwser than my b

Algebra ->  Expressions-with-variables -> SOLUTION: how do I solve this rational expression with unlike deniomators, for example, 6/(x-3) + 8/(3-x), I know I must use a -1 and multiply, but I am getting a different anwser than my b      Log On


   



Question 362352: how do I solve this rational expression with unlike deniomators, for example,
6/(x-3) + 8/(3-x), I know I must use a -1 and multiply, but I am getting a different anwser than my book

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
6%2F%28x-3%29+%2B+8%2F%283-x%29
Write the second denominator in descending order:
6%2F%28x-3%29+%2B+8%2F%28-x%2B3%29
Factor -1 out of the second denominator:
6%2F%28x-3%29+%2B+8%2F%28-1%28x-3%29%29
The -1 on the bottom of the second fraction makes
the term negative so we just us a minus sign:
6%2F%28x-3%29+-+8%2F%28x-3%29
Now the two fractions have the same denominator:
%286-8%29%2F%28x-3%29
-2%2F%28x-3%29
Edwin