## Expanding and Simplifying (x + 2)(x + 3) into Standard Form

The expression (x + 2)(x + 3) is in factored form. To get it into standard form, which is **ax² + bx + c**, we need to expand and simplify it.

### Using the FOIL Method

The **FOIL** method (First, Outer, Inner, Last) is a helpful way to multiply binomials.

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

This gives us: **x² + 3x + 2x + 6**

### Simplifying the Expression

Now, combine the like terms:

**x² + 5x + 6**

This is the standard form of the expression (x + 2)(x + 3).

### In summary,

**(x + 2)(x + 3) = x² + 5x + 6**