To expand and simplify $(x - 3)^2$, we will apply the binomial expansion formula:

$(a - b)^2 = a^2 - 2ab + b^2$

Here, $a = x$ and $b = 3$.

Now, expanding step by step:

1. Square the first term: $x^2$
2. Multiply the two terms together and then by 2: $-2 \cdot x \cdot 3 = -6x$
3. Square the second term: $3^2 = 9$

Combining these, we get:

$(x - 3)^2 = x^2 - 6x + 9$

So, the expanded form is $x^2 - 6x + 9$.

Would you like more details or have any questions?

Related Questions:

1. How would you expand and simplify $(x + 4)^2$?
2. What is the expanded form of $(2x - 5)^2$?
3. How do you expand and simplify $(3x + 2)^2$?
4. What is the result of expanding $(x - 7)^2$?
5. How can you generalize the expansion of $(ax + b)^2$?

Tip:

When expanding squares of binomials, always remember to use the formula $a^2 - 2ab + b^2$ or $a^2 + 2ab + b^2$, depending on the sign.