SOLUTION: How do you reduce rational expressionsto lowest terms? For example: xy+2x+3y+6 ___________ = I can not figure out how to solve this problem. Thanks! xy+2x+5y+10

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you reduce rational expressionsto lowest terms? For example: xy+2x+3y+6 ___________ = I can not figure out how to solve this problem. Thanks! xy+2x+5y+10      Log On


   

Question 467315: How do you reduce rational expressionsto lowest terms? For example:
xy+2x+3y+6
____________ = I can not figure out how to solve this problem. Thanks!
xy+2x+5y+10
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Sorry about this idiot
:
xy+2x+3y+6
____________ = I can not figure out how to solve this problem. Thanks!
xy+2x+5y+10
:
Factor by factoring out the common term in two groups
%28x%28y%2B2%29%2B3%28y%2B2%29%29%2F%28x%28y%2B2%29%2B5%28y%2B2%29%29
:
We can factor out (y+2) leaving
%28%28x%2B3%29%28y%2B2%29%29%2F%28%28x%2B5%29%2B%28y%2B2%29%29
:
(x+2) will cancel, leaving
%28x%2B3%29%2F%28x%2B5%29