SOLUTION: Simplify the rational expression. 6x^2+16x+10 over 2x+2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the rational expression. 6x^2+16x+10 over 2x+2      Log On


   

Question 350385: Simplify the rational expression.
6x^2+16x+10 over 2x+2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%286x%5E2%2B16x%2B10%29%2F%282x%2B2%29 Start with the given expression.


%282%283x%2B5%29%28x%2B1%29%29%2F%282x%2B2%29 Factor 6x%5E2%2B16x%2B10 to get 2%283x%2B5%29%28x%2B1%29.


%282%283x%2B5%29%28x%2B1%29%29%2F%282%28x%2B1%29%29 Factor 2x%2B2 to get 2%28x%2B1%29.


Highlight the common terms.


Cancel out the common terms.


3x%2B5 Simplify.


So %286x%5E2%2B16x%2B10%29%2F%282x%2B2%29 simplifies to 3x%2B5.


In other words, %286x%5E2%2B16x%2B10%29%2F%282x%2B2%29=3x%2B5


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim