SOLUTION: 2x^2+4/2x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 2x^2+4/2x      Log On


   

Question 189809: 2x^2+4/2x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E2%2B4%29%2F%282x%29 Start with the given expression


%282x%5E2%29%2F%282x%29%2B4%2F%282x%29 Break up the fraction


%282x%2Ax%29%2F%282x%29%2B4%2F%282x%29 Factor 2x%5E2 to get 2x%2Ax


%282x%2Ax%29%2F%282x%29%2B%282%2A2%29%2F%282x%29 Factor 4 to get 2%2A2


%28cross%282x%29%2Ax%29%2Fcross%282x%29%2B%28cross%282%29%2A2%29%2F%28cross%282%29x%29 Cancel out the common terms.


x%2B2%2Fx Simplify


So %282x%5E2%2B4%29%2F%282x%29=x%2B2%2Fx where x%3C%3E0