The expression \((x - 3)^2\) represents a binomial squared. To expand this, you can apply the formula for the square of a binomial:

\[
(a - b)^2 = a^2 - 2ab + b^2
\]

In this case, \(a = x\) and \(b = 3\), so:

\[
(x - 3)^2 = x^2 - 2(3)(x) + 3^2
\]

Simplifying:

\[
(x - 3)^2 = x^2 - 6x + 9
\]

So, \((x - 3)^2 = x^2 - 6x + 9\).

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. What is the expansion of \((x + 4)^2\)?
2. How would you expand \((2x - 5)^2\)?
3. How can you factor \(x^2 - 10x + 25\)?
4. What is the general form for \((ax + b)^2\)?
5. How do you complete the square for the expression \(x^2 - 6x\)?

**Tip:** When expanding binomials, always apply the square of a binomial formula and simplify step by step.

Learn how to expand the binomial expression (x - 3)^2 using the square of a binomial formula. This step-by-step guide helps students grasp algebraic concepts and binomial expansion. Suitable for students in Grades 7-9.

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