Question

simplify x^2+2x+1 over 2x+2

Answer 1

\(\large\color{black}{ \displaystyle \frac{x^2+2x+1}{2x+2} }\)

You can factor on top and bottom. I will tell you this:
In the numerator you have a perfect square trinomial
In the denominator you have 2 terms that both have a factor '2' in common.

Answer 2

would it be x+1 over 2?