The given expression $x^2 + 2x + 1$ is a quadratic expression. It can be factored or simplified further as follows:

Step 1: Identify if the expression can be factored

The given expression is a perfect square trinomial because: $x^2 + 2x + 1 = (x + 1)^2$

Final Answer:

$x^2 + 2x + 1 = (x + 1)^2$

This represents the square of the binomial $(x + 1)$.

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Would you like a detailed explanation of factoring or solving similar equations?

5 Related Questions:

1. How do you solve $(x + 1)^2 = 0$?
2. What are the properties of perfect square trinomials?
3. How do you factor $x^2 + bx + c$ in general?
4. Can $x^2 + 2x + 1 = 0$ have real solutions?
5. How does completing the square work for other quadratic expressions?

Tip:

When factoring a quadratic expression, always check if it matches the form of a perfect square trinomial, $a^2 + 2ab + b^2 = (a + b)^2$.