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The question asks you to multiply and simplify the expression \((8x + 9h)^2\).

To solve this, we use the **square of a binomial** formula:

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

In this case:
- \(a = 8x\)
- \(b = 9h\)

Applying the formula:

\[
(8x + 9h)^2 = (8x)^2 + 2(8x)(9h) + (9h)^2
\]

Now let's simplify each term:
- \((8x)^2 = 64x^2\)
- \(2(8x)(9h) = 144xh\)
- \((9h)^2 = 81h^2\)

So, the expanded form is:

\[
64x^2 + 144xh + 81h^2
\]

Thus, the answer is:

\[
\boxed{64x^2 + 144xh + 81h^2}
\]

Do you want more details or have any questions?

Here are 5 related questions to practice:
1. Expand \((5a + 3b)^2\).
2. What is the expanded form of \((7x + 2y)^2\)?
3. Simplify the expression \((2m - 4n)^2\).
4. Expand and simplify \((3x + 6)^2\).
5. Multiply \((10x + 5y)^2\).

**Tip**: The square of a binomial always has three terms: the square of the first term, twice the product of the two terms, and the square of the second term.

Learn how to expand and simplify the expression (8x + 9h)^2 using the square of a binomial formula. This step-by-step solution covers polynomial multiplication and related algebraic concepts, suitable for students in Grades 9-10.

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