The expression \((x - 8)^2\) can be expanded using the binomial formula \((a - b)^2 = a^2 - 2ab + b^2\).

Let's expand it:

\[
(x - 8)^2 = x^2 - 2 \cdot x \cdot 8 + 8^2
\]

Simplifying further:

\[
x^2 - 16x + 64
\]

So, the expanded form of \((x - 8)^2\) is:

\[
x^2 - 16x + 64
\]

Would you like more details, or do you have any questions?

Here are some related questions:

1. How do you expand \((x + 5)^2\)?
2. What is the expanded form of \((x - 8)(x + 8)\)?
3. How do you simplify \((2x - 3)^2\)?
4. What is the vertex form of a quadratic function like \(x^2 - 16x + 64\)?
5. How do you factor \(x^2 - 16x + 64\)?

**Tip:** Remember, for any expression of the form \((a - b)^2\), the expansion is \(a^2 - 2ab + b^2\).

Learn how to expand the expression (x - 8)^2 using the binomial formula. This step-by-step solution covers algebraic concepts such as binomial expansion, quadratic expressions, and simplifying terms. Perfect for students in Grades 8-10.

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