The given expression is:

$x^2 - 10x + 25$

This is a quadratic expression. To factor it, we need to find two numbers that multiply to $25$ and add to $-10$. The numbers $-5$ and $-5$ fit this criteria.

So, the expression can be factored as:

$(x - 5)(x - 5)$

or simply:

$(x - 5)^2$

This shows that the quadratic expression is a perfect square trinomial.

Would you like further details or have any questions?

Here are some related questions you might find interesting:

1. What is the significance of a perfect square trinomial in solving quadratic equations?
2. How do you complete the square for a quadratic expression that is not already a perfect square?
3. What is the vertex form of a quadratic equation, and how is it related to factoring?
4. How would you solve the equation $x^2 - 10x + 25 = 0$?
5. How can you graph the quadratic function $y = x^2 - 10x + 25$?

Tip: Always check if a quadratic expression can be factored easily by identifying it as a perfect square trinomial or by using the quadratic formula.