In Exercises 49–56, factor each perfect square trinomial. x^2+2x+1

Step 3: Check if the middle term is twice the product of the square roots of the first and last terms. In this case, $2x$ is indeed twice the product of $x$ and $1$.

Step 4: If the middle term is twice the product of the square roots of the first and last terms, then the trinomial can be factored into the square of a binomial. The binomial is formed by the square roots of the first and last terms, and the sign of the middle term. In this case, the binomial is $(x+1)$.