Answer
(x+1)(x+1)
Work Step by Step
The expression can be factored. One can reach this conclusion by looking at the original expression: $x^{2}$+2x+1.
1. Find two numbers that multiply for a product of 1, but have a sum of 2.
2. Two numbers that satisfy these conditions are 1 and 1.
3. (x+1)(x+1)