Using factorization what is k squared minus 4k plus 4?

To factor \( k^2 - 4k + 4 \), let's follow these steps:

1. **Recognize the structure**: The expression \( k^2 - 4k + 4 \) is a quadratic trinomial. It can potentially be factored as a perfect square.

2. **Look for a perfect square**: Notice that the quadratic is in the form \( a^2 - 2ab + b^2 \), which is the square of a binomial. 

   Specifically:
   \[
   k^2 - 4k + 4 = (k - 2)^2
   \]

So, the factorization of \( k^2 - 4k + 4 \) is:
\[
(k - 2)(k - 2) = (k - 2)^2
\]

This is a perfect square trinomial.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you factor more complicated trinomials?
2. Can all quadratic expressions be factored this easily?
3. What is the process for solving quadratic equations using factorization?
4. How do you recognize if a trinomial is a perfect square?
5. How does completing the square relate to factoring quadratics?

**Tip**: Always check if a quadratic can be factored as a perfect square first—it's often the simplest approach!

Discover how to factor the quadratic expression k^2 - 4k + 4 using the perfect square trinomial method. This step-by-step guide explains the process, key formulas, and algebraic concepts involved. Perfect for students in Grades 8-10.

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