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To solve this problem, we need to expand the expression \((x - 3)^2\) and see which option matches the result.

### Step-by-Step Solution:

1. **Use the formula for expanding a square of a binomial**:
   \[
   (a - b)^2 = a^2 - 2ab + b^2
   \]
   Here, \(a = x\) and \(b = 3\).

2. **Apply the formula**:
   \[
   (x - 3)^2 = x^2 - 2 \cdot x \cdot 3 + 3^2
   \]

3. **Calculate each term**:
   - \(x^2\) remains as \(x^2\).
   - \(-2 \cdot x \cdot 3 = -6x\).
   - \(3^2 = 9\).

4. **Combine terms**:
   \[
   x^2 - 6x + 9
   \]

### Conclusion:
The expression equivalent to \((x - 3)^2\) is \(x^2 - 6x + 9\), which corresponds to **Option A**.

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Would you like further details or have any questions?

Here are five related questions to expand your understanding:

1. How would you expand \((x + 4)^2\)?
2. What is the result of \((x - 5)^2\)?
3. Can you find the expanded form of \((2x - 3)^2\)?
4. How does the formula change for \((a + b)^2\)?
5. How would you simplify \((2x + 1)^2\)?

**Tip:** Remember that \((a - b)^2\) always results in \(a^2 - 2ab + b^2\), so focus on applying this structure when expanding similar expressions.

Select the expression that is equivalent to \((x - 3)^2\).

Learn how to expand the expression \((x - 3)^2\) to find its equivalent form. This example covers binomial expansion and applies the formula \((a - b)^2 = a^2 - 2ab + b^2\), ideal for students in Grades 7-9.

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