## Final Answer

## Step-by-step Solution

Problem to solve:

Choose the solving method

The trinomial $x^2-2x+1$ is a perfect square trinomial, because it's discriminant is equal to zero

Learn how to solve factorization problems step by step online.

$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$

Learn how to solve factorization problems step by step online. Factor the expression x^2-2x+1. The trinomial x^2-2x+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.