Factor the following trinomial completely.
\[
x^{2}-2 x+1
\]

Select the correct choice below and, if necessary,
A. $x^{2}-2 x+1=\square$
B. $x^{2}-2 x+1$ is prime.

Answer

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Answer

$\boxed{x^{2}-2 x+1=(x-1)^{2}}$

Steps

Step 1 ：Factor the following trinomial completely: $x^{2}-2 x+1$.

Step 2 ：The factored form of the expression is $(x - 1)^{2}$.

Step 3 ：$\boxed{x^{2}-2 x+1=(x-1)^{2}}$