To simplify \((x - 7)(x - 7)\), you can expand it using the distributive property (also known as FOIL in the case of binomials):

\[
(x - 7)(x - 7) = x^2 - 7x - 7x + 49
\]

Combine like terms:

\[
x^2 - 14x + 49
\]

So, the simplified expression is:

\[
x^2 - 14x + 49
\]

Would you like more details on this process or any clarification?

Here are 5 related questions to explore further:
1. What is the expanded form of \((x - a)(x - a)\)?
2. How do you expand and simplify \((x - 5)(x + 5)\)?
3. What is the difference between expanding and factoring polynomials?
4. How do you find the vertex of a quadratic function like \(x^2 - 14x + 49\)?
5. What is the general form of a perfect square trinomial?

**Tip**: Whenever you see the form \((a - b)(a - b)\), it's a perfect square trinomial!

Learn how to simplify the expression (x-7)(x-7) by expanding it into a perfect square trinomial. This step-by-step guide covers essential algebraic techniques like the distributive property and the perfect square trinomial theorem. Ideal for students in Grades 8-10.

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