Foundations of Algebra Practice Book by Sadlier-Oxford, ideal for algebra learning with engaging visuals.

It looks like you've uploaded an image of the cover of a book titled "Foundations of Algebra Practice Book" by Sadlier-Oxford. However, there is no specific problem or task visible on the cover itself—just the title, publisher, and some illustrative graphics (like the Golden Gate Bridge, a honeycomb with bees, a puzzle globe, and a stack of blue blocks).

There’s also a handwritten equation on the cover:
(2x + 9)(2x - 9) = 4x² - 81

This appears to be a difference of squares identity, which is a common algebraic concept.

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Let's solve and explain this equation:

We are given:
$$
(2x + 9)(2x - 9) = 4x^2 - 81
$$

#### Step 1: Use the Difference of Squares Formula
The formula for the difference of squares is:
$$
(a + b)(a - b) = a^2 - b^2
$$

Here, $ a = 2x $, $ b = 9 $

So:
$$
(2x + 9)(2x - 9) = (2x)^2 - (9)^2 = 4x^2 - 81
$$

✔ This matches the right-hand side of the equation.

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Final Answer:

$$
(2x + 9)(2x - 9) = 4x^2 - 81 \quad \text{is true for all values of } x.
$$

This is an identity, meaning it holds true for all real numbers $ x $. It demonstrates the difference of squares pattern.

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Summary:

- The expression $(2x + 9)(2x - 9)$ simplifies to $4x^2 - 81$ using the difference of squares.
- This is not a problem to solve for $x$, but rather an identity that illustrates a key algebraic concept.

If you have a specific problem from inside the book that you'd like help with, feel free to describe it or upload the page!