What is the excluded value of x for x^2+3x+2/x^2+2x+1

 The required value of x is

Step-by-step explanation:  We are given to find the excluded value for the following rational expression:

First, we need to factorize both numerator and denominator and then we should check the values of x for which the expression becomes undefined.

We have

Now, we can cancel by , only if because

if then   and we cannot divide 0 by 0.

Therefore, if then

which is again well-defined because and so the denominator never become zero.

Thus, the excluded value of x is  

$12. that is my answer.