SOLUTION: I need to simplify x^-1+2/x+2x^2 I know that x^-1 is equal to 1/x. I get a little confused on what to do next. Do I add or multiply the 1/x to what is left--which would be 2/x+

Algebra.Com
Question 206640: I need to simplify x^-1+2/x+2x^2
I know that x^-1 is equal to 1/x. I get a little confused on what to do next. Do I add or multiply the 1/x to what is left--which would be 2/x+2x^2. Any help you can provide would be greatly appreciated.
Found 2 solutions by ichudov, MathTherapy:
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: x^(-1)+2/x+2x^2 simplifies to 3/x+2*x^2
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x^(-1)+2/x+2x^2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Negative power changes multiplication to division
It becomes .
Look at .
Removing power of one highlight_red%28+1+%29
Look at .
Eliminated similar terms highlight_red%28+1%2Fx+%29,highlight_red%28+2%2Fx+%29 replacing them with highlight_green%28+%281%2B2%29%2Fx+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

simplify

------> ------> ------> ------>
RELATED QUESTIONS

Solving Polynomial and Rational Inequalities? I have did a little work with this but I (answered by solver91311)
i need help on solving this problem using the distributive property.. -2 (x+1) + x =... (answered by Fombitz,josmiceli)
x^2-2x+3/x+1 is less than or equal to 1. I know i have to get 1 on the other side so i... (answered by MathLover1)
I need to solve this equation: 1/x + 1/2x = 1/6 I know the LCD is 6x, but I don't... (answered by Alan3354)
solve by completing the square 3/8x^2 = 1/8 - x Get 0 on one side: 3/8x^2 + x - 1/8 = 0 (answered by Alan3354,Earlsdon,richwmiller)
This equation is difficult. I have tried this expression six times and the answer is... (answered by Earlsdon,MathTherapy)
I have the following problem. I will be honest, it is for homework, so the answer is not... (answered by stanbon,ankor@dixie-net.com,Fombitz)
An isosceles right triangle has legs measuring (x + 1) cm each. The hypotenuse has... (answered by stanbon)
I need to know what these equation graphs look like. I'm a little confused. I know the... (answered by mbarugel)