SOLUTION: simplifying the following complex rational expression (4/x)+(2/x^2)/(2+1/x) NEED HELP WHAT IS THE FIRST STEP TO SOLVE??? IS IT TO MULTIPLY THE LCD x^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: simplifying the following complex rational expression (4/x)+(2/x^2)/(2+1/x) NEED HELP WHAT IS THE FIRST STEP TO SOLVE??? IS IT TO MULTIPLY THE LCD x^2      Log On


   

Question 1098987: simplifying the following complex rational expression
(4/x)+(2/x^2)/(2+1/x)
NEED HELP WHAT IS THE FIRST STEP TO SOLVE???
IS IT TO MULTIPLY THE LCD x^2
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes. That's the correct first step.

Answer by ikleyn(52831) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your numerator is  %284%2Fx%29%2B%282%2Fx%5E2%29.


Multiply it by x%5E2. You will get  (4x + 2) = 2*(2x+1).         


Your denominator is  %282%2B1%2Fx%29.


Multiply it by x%5E2. You will get  2x%5E2+%2Bx = x*(2x+1).     


Now your expression is %282%2A%282x%2B1%29%29%2F%28x%2A%282x%2B1%29%29 = 2%2Fx.


Do you need more explanations or these are just enough ?