# Very simple Simplification Question

1. Feb 13, 2008

### mike_302

1. The problem statement, all variables and given/known data

(2x^2+4x+2)/x+1 = l

Simplify the equation for l. I do not want to solve it, just simplify.

2. Relevant equations

3. The attempt at a solution

I actually reduced the equation this far already, and the back of the book says I have gotten the equation right up to this point, but then it gives the answer, but not the steps to get there. The ANSWER: 2(x+1) .... I do not understand how to get that .

2. Feb 13, 2008

### rock.freak667

(2x^2+4x+2)=2(x^2+2x+1)

can you simplify (x^2+2x+1) further? (think of perfect squares)

3. Feb 13, 2008

### mike_302

OH! Ok, I got it. Thanks for the help! I can't believe I missed that.

4. Feb 14, 2008

### Lunar Guy

$$(2x^{2}+4x+2)/(x+1)$$

$$(2(x^{2}+2x+1)/(x+1)$$

$$2(x+1)^{2}/(x+1)$$

$$2(x+1)$$