Algebra Practice Test

To expand the expression (x + 2)(x - 3), we use the distributive property, commonly known as the FOIL method for binomials. This involves multiplying each term in the first binomial by each term in the second binomial.

Here’s how the expansion works:

1. First, we multiply the first terms: x * x = x².

2. Next, we multiply the outer terms: x * (-3) = -3x.

3. Then, we multiply the inner terms: 2 * x = 2x.

4. Finally, we multiply the last terms: 2 * (-3) = -6.

Now, we combine all these results:

- The first term gives us x².

- The outer and inner terms combine as follows: -3x + 2x = -x.

- The last term results in -6.

Putting it all together, the final expression is:

x² - x - 6.

This matches the expression provided in the answer choice, confirming that this is indeed the correct result of expanding (x + 2)(x - 3).