The expression \((x - 3)(x + 9)\) can be expanded using the distributive property (also known as FOIL method for binomials):

\[
(x - 3)(x + 9) = x(x + 9) - 3(x + 9)
\]

Expanding each term:

\[
= x^2 + 9x - 3x - 27
\]

Now, combine like terms:

\[
x^2 + 6x - 27
\]

So, the expanded form of the expression is \(x^2 + 6x - 27\).

Would you like more details or have any questions?

Here are 8 related questions:
1. How would you factor the expression \(x^2 + 6x - 27\)?
2. What is the vertex of the quadratic function \(y = x^2 + 6x - 27\)?
3. How do you solve the equation \((x - 3)(x + 9) = 0\)?
4. Can the expression \(x^2 + 6x - 27\) be factored using integers?
5. What is the axis of symmetry for the function \(y = x^2 + 6x - 27\)?
6. How would you complete the square for the expression \(x^2 + 6x - 27\)?
7. What are the roots of the equation \(x^2 + 6x - 27 = 0\)?
8. How does the sign of the constant term affect the graph of \(y = x^2 + 6x - 27\)?

**Tip:** When expanding binomials, the distributive property is a powerful tool to break down the multiplication into simpler steps.

Learn how to expand the expression (x - 3)(x + 9) using the distributive property (FOIL method). Understand the steps involved in simplifying the binomial expression into a quadratic form, x^2 + 6x - 27. Suitable for students in Grades 9-12.

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