The expression \((x + 8)^2\) can be expanded using the formula for the square of a binomial, which is:

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

Here, \(a = x\) and \(b = 8\). Applying the formula:

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

Simplify the terms:

\[
(x + 8)^2 = x^2 + 16x + 64
\]

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

\[
\boxed{x^2 + 16x + 64}
\]

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

### Related Questions:
1. How do you expand \((x - 5)^2\)?
2. What is the general formula for expanding \((a + b)^n\)?
3. How can you factorize the expression \(x^2 + 16x + 64\)?
4. How do you find the vertex form of a quadratic expression like \(x^2 + 16x + 64\)?
5. What are the roots of the equation \((x + 8)^2 = 0\)?

**Tip:** When expanding binomials, always use the binomial theorem or known formulas to simplify your calculations.

Learn how to expand the expression (x + 8)² using the formula for the square of a binomial. This step-by-step guide covers essential algebraic concepts and formulas, suitable for students in Grades 8-10.

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