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

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

Now, distribute each term:

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

Combine like terms:

$= x^2 + 5x + 6$

So, $(x + 2)(x + 3) = x^2 + 5x + 6$.

Would you like more details or have any questions?

Here are some related questions:

1. How do you factor quadratic expressions like $x^2 + 5x + 6$?
2. What are other methods to expand binomials, like the box method?
3. How can we graph the equation $y = x^2 + 5x + 6$?
4. How do we solve the equation $(x+2)(x+3) = 0$?
5. What is the relationship between the roots of a quadratic and its factors?

Tip: The distributive property is useful when multiplying polynomials and can simplify more complex algebraic expressions.