SOLUTION: Please help me solve this: The Lesson is: Multiplying and Dividing Rational Expressions The directions say "Simplify each expression" The problem I need help with is: x^2 + 4x

Algebra ->  Rational-functions -> SOLUTION: Please help me solve this: The Lesson is: Multiplying and Dividing Rational Expressions The directions say "Simplify each expression" The problem I need help with is: x^2 + 4x      Log On


   

Question 427812: Please help me solve this:
The Lesson is: Multiplying and Dividing Rational Expressions
The directions say "Simplify each expression"
The problem I need help with is: x^2 + 4x - 5 / 18 divided by x^2 - x / 6
-I really dont understand how to do this...
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
"Simplify each expression"
%28+x%5E2+%2B+4x+-+5%29%2F18
-----------
%28x%5E2+-+x%29%2F6+
Remember the rule for dividing fractions,"invert the dividing fraction and multiply"
%28+x%5E2+%2B+4x+-+5%29%2F18 * 6%2F%28x%5E2-x%29
Factor
%28%28x%2B5%29%28x-1%29%29%2F18 * %286%2Fx%28x-1%29%29%29
:
See what you can cancel here, (x-1) and 6 into 18, resulting in:
%28%28x%2B5%29%29%2F3 * 1%2Fx%29 = %28%28x%2B5%29%29%2F%283x%29, is the simplified expression