## Expanding and Simplifying (x+3)(x-2)

In mathematics, we often encounter expressions in factored form, like (x+3)(x-2). To understand the behavior of this expression and use it effectively in equations or other calculations, we need to expand it into standard form.

### Expanding the Expression

To expand the expression, we use the distributive property, also known as the **FOIL method**:

**F**irst: Multiply the first terms of each binomial: x * x = x²**O**uter: Multiply the outer terms of the binomials: x * -2 = -2x**I**nner: Multiply the inner terms of the binomials: 3 * x = 3x**L**ast: Multiply the last terms of each binomial: 3 * -2 = -6

This gives us: x² - 2x + 3x - 6

### Simplifying the Expression

Finally, we combine the like terms:

**x² + x - 6**

### Conclusion

Therefore, the standard form of the expression (x+3)(x-2) is **x² + x - 6**. This simplified form is easier to work with in many mathematical contexts.