The expression \( x^2 + 2x + 1 \) is a quadratic trinomial. Let's break it down:

1. **Factoring**:
   This is a perfect square trinomial, and it factors as:
   \[
   x^2 + 2x + 1 = (x + 1)^2
   \]

2. **Solution (if it's an equation)**:
   If you set the expression equal to 0, you would solve:
   \[
   (x + 1)^2 = 0
   \]
   The solution is:
   \[
   x = -1
   \]

Would you like more details on the factoring process, or any other aspect of this equation?

Here are some related questions:
1. How do you solve general quadratic equations?
2. What are the methods for factoring trinomials that are not perfect squares?
3. How does completing the square help in solving quadratics?
4. Can you graph the function \( y = x^2 + 2x + 1 \)?
5. What are the properties of quadratic functions like vertex and axis of symmetry?

**Tip**: Recognizing special patterns like perfect square trinomials can speed up factoring!

Learn how to factor and solve the quadratic expression x^2 + 2x + 1, a perfect square trinomial. This step-by-step solution involves factoring and applying the zero-product property. Suitable for students in Grades 8-10.

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