## Expanding the Expression (x + 3)(x + 2)

This expression represents the product of two binomials, (x + 3) and (x + 2). To expand it, we can use the distributive property (also known as FOIL).

### FOIL Method

**FOIL** stands for **First, Outer, Inner, Last**, which guides us in multiplying the terms:

**First:**Multiply the first terms of each binomial: x * x =**x²****Outer:**Multiply the outer terms of the binomials: x * 2 =**2x****Inner:**Multiply the inner terms of the binomials: 3 * x =**3x****Last:**Multiply the last terms of each binomial: 3 * 2 =**6**

### Combining Terms

After multiplying all the terms, we combine the like terms:

x² + 2x + 3x + 6

This simplifies to:

**x² + 5x + 6**