## Expanding the Expression (x - 3)(x - 9)

This expression represents the product of two binomials: (x - 3) and (x - 9). To expand it, we can use the **FOIL method**, which stands for **First, Outer, Inner, Last**.

### FOIL Method Breakdown

**First:**Multiply the first terms of each binomial:**x * x = x²****Outer:**Multiply the outer terms of the binomials:**x * -9 = -9x****Inner:**Multiply the inner terms of the binomials:**-3 * x = -3x****Last:**Multiply the last terms of each binomial:**-3 * -9 = 27**

### Combining the Terms

Now we combine the terms we obtained:

x² - 9x - 3x + 27

Finally, we simplify by combining the like terms:

**x² - 12x + 27**

### Conclusion

Therefore, the expanded form of (x - 3)(x - 9) is **x² - 12x + 27**. This expression can also be used to represent a quadratic equation, which can be further analyzed to find its roots, vertex, and other properties.