What is the product of (x + 3)(x - 2)?

To find the product of the expressions (x + 3)(x - 2), we will use the distributive property, often referred to as the FOIL method for binomials. This process involves multiplying each term in the first binomial by each term in the second binomial.

First, let's break down the multiplication:

1. First: Multiply the first terms in each binomial:

   • x * x = x².

2. Outer: Multiply the outer terms:

   • x * (-2) = -2x.

3. Inner: Multiply the inner terms:

   • 3 * x = 3x.

4. Last: Finally, multiply the last terms in each binomial:

   • 3 * (-2) = -6.

Now, we combine all these results:

• Start with x²,
• Combine the middle terms: -2x + 3x = x,
• Add the constant: -6.

Putting it all together, we get: x² + x - 6.

This matches with the answer choice that corresponds to the proper combining of the products from the distribution. Thus, the product of (x + 3)(x