The expression \( b^2 + 2b + 1 \) can be factored as a perfect square trinomial. Here's the factorization:

\[
b^2 + 2b + 1 = (b + 1)(b + 1) = (b + 1)^2
\]

Would you like more details on how this factorization was determined, or do you have any other questions?

Here are 5 related questions to deepen your understanding:
1. How do you factor more complex trinomials, such as \( x^2 + 5x + 6 \)?
2. Can every quadratic expression be factored easily like this?
3. How would you complete the square for a quadratic equation?
4. What is the quadratic formula, and how does it relate to factoring?
5. Can you explain the difference between factoring and solving a quadratic equation?

**Tip:** Always check if a quadratic expression is a perfect square trinomial by comparing the middle term to twice the square root of the first and last terms.

Learn how to factor the quadratic expression b^2 + 2b + 1 as a perfect square trinomial. This problem covers key algebraic concepts such as factoring and quadratic equations. Suitable for students in Grades 7-9.

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