SOLUTION: Simplify the following fraction. 2x^2+x-6 /2x+4 I did it this way but I am not sure if it is right. (2x+x)(x-6)/2(x+4)= 2x^2-6/2+4= 2x^2-6/6= 2x^2 Could someone please tell me

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the following fraction. 2x^2+x-6 /2x+4 I did it this way but I am not sure if it is right. (2x+x)(x-6)/2(x+4)= 2x^2-6/2+4= 2x^2-6/6= 2x^2 Could someone please tell me       Log On


   

Question 147358: Simplify the following fraction.
2x^2+x-6 /2x+4
I did it this way but I am not sure if it is right.
(2x+x)(x-6)/2(x+4)= 2x^2-6/2+4= 2x^2-6/6= 2x^2
Could someone please tell me if that is right?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x%5E2%2Bx-6%29%2F%282x%2B4%29 Start with the given expression.


%28%28x%2B2%29%2A%282%2Ax-3%29%29%2F%282x%2B4%29 Factor 2x%5E2%2Bx-6 to get %28x%2B2%29%2A%282%2Ax-3%29.


%28%28x%2B2%29%2A%282%2Ax-3%29%29%2F%282%28x%2B2%29%29 Factor 2x%2B4 to get 2%28x%2B2%29.


%28highlight%28x%2B2%29%282%2Ax-3%29%29%2F%28%282%29highlight%28x%2B2%29%29 Highlight the common terms.


%28cross%28x%2B2%29%282%2Ax-3%29%29%2F%28%282%29cross%28x%2B2%29%29 Cancel out the common terms.


%282x-3%29%2F%282%29 Simplify.


So %282x%5E2%2Bx-6%29%2F%282x%2B4%29 simplifies to %282x-3%29%2F%282%29.


In other words, %282x%5E2%2Bx-6%29%2F%282x%2B4%29=%282x-3%29%2F%282%29 where x%3C%3E-2