To simplify the expression $(x + 2)(x - 3)$, we can apply the distributive property (also known as the FOIL method for binomials):

$(x + 2)(x - 3) = x(x - 3) + 2(x - 3)$

Now, simplify each term:

1. $x(x - 3) = x^2 - 3x$
2. $2(x - 3) = 2x - 6$

Now combine like terms:

$x^2 - 3x + 2x - 6 = x^2 - x - 6$

So, the simplified form is:

$(x + 2)(x - 3) = x^2 - x - 6$

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How would you expand $(x - 5)(x + 4)$?
2. What is the result of $(2x + 3)(x - 1)$?
3. Can you factor the expression $x^2 - x - 6$?
4. How does the distributive property work for more complex polynomials like $(x^2 + x)(x - 1)$?
5. What happens when you multiply two binomials with the same terms but opposite signs, like $(x + 4)(x - 4)$?

Tip: The FOIL method (First, Outer, Inner, Last) is a great way to remember the distributive property when expanding binomials.