Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then, write and factor the trinomial.

$x^2-x$

What is the constant that should be added to the binomial so that it becomes a perfect square trinomial?

$\frac{1}{4}($Type an integer or a fraction.$)$

Write the trinomial

$x^2-x+\frac{1}{4}$

$($Do not factor. Use integers or fractions for any numbers in the expression.$)$

Factor the result.

$($Type your answer in factorechorm. Use integers or fractions for any numbers in the expression.$)$