The expression (x + 2)(x + 3) represents the product of two binomials. To simplify it, you can use the distributive property, also known as the FOIL method, which stands for First, Outside, Inside, Last. This means you multiply the first terms, then the outer terms, followed by the inner terms, and finally the last terms of each binomial. When you apply the FOIL method to (x + 2)(x + 3), you get x^2 + 3x + 2x + 6. Combining like terms results in x^2 + 5x + 6. This simplified expression is a quadratic polynomial, which can be graphed as a parabola.