SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Simplify the complex fraction. x/x+1/9/x^2-1

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Simplify the complex fraction. x/x+1/9/x^2-1      Log On


   

Question 161003: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Simplify the complex fraction.
x/x+1/9/x^2-1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean:
x%2F%28%28x%2B1%29%29
-----------
9%2F%28%28x%5E2-1%29%29
:
Remember the rule dividing fractions,"Invert the dividing fraction and multiply"
x%2F%28%28x%2B1%29%29 *%28%28x%5E2-1%29%29%2F9
:
x^2-1 is a the "difference of squares"; factor that
x%2F%28%28x%2B1%29%29 *%28%28x%2B1%29%28x-1%29%29%2F9
:
Cancel the (x+1)'s
x *%28%28x-1%29%29%2F9 = %28x%28x-1%29%29%2F9